* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (392 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 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 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 (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow 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 (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (/ 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 (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]taylor: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/8 in J * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (+ (* 1/2 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)) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [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]taylor: Taking 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 (+ (* (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 (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 (+ (* 1/2 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 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [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 into 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 (/ (/ 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 (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (/ (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (/ (/ 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 (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 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 (/ (/ 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 (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [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]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 (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) * [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)) 1) into (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 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 1) (+ (* (cos (/ 1/2 K)) (/ 0 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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 (- (+ (* (/ 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 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) 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 (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * [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 (/ (/ 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 (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [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 (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (/ (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (/ (/ 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 (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 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 (/ (/ 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 (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [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]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 (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) * [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)) 1) into (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 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 1) (+ (* (cos (/ -1/2 K)) (/ 0 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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- J) into (- J) * [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))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) 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 (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * * * [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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (/ 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 (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow 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 (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (/ 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 (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 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 (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) 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 (* 1/2 (/ U (cos (* 1/2 K))))) 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)))) (* 1/2 (/ U (cos (* 1/2 K)))))) into (- U) * [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]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 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 (+ 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 (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (/ (cos (* 1/2 K)) U)) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) 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]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]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 (/ (/ 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 (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) 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 (/ (/ 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 (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (/ (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (/ (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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))) 1) 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]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 (+ 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 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 (+ (* -2 0) (* 0 (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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-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))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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))) (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 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 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (pow U 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 (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 U) into (pow U 2) * [misc]backup-simplify: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (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 (* 1 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 (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 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 (- (/ 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [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 (+ (* -2 0) (+ (* 0 0) (* 0 (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 (+ 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 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 U * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) 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 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) 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]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 (/ (/ 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 (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) 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 (/ (/ 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 (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [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 (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (/ (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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 (/ (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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))) 1) 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]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 (+ 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 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 (+ (* 2 0) (* 0 (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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-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))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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))) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 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 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (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 (+ 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 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) 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 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 (+ (* 1 0) (+ (* 0 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 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 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [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 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 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 (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) 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 (pow (cos (* 1/2 K)) 2) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/4 1) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]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 (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (+ (* 1/2 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)) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]taylor: Taking 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 (+ (* 1/2 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 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 (+ (* 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 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]taylor: Taking 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 (+ (* 1/2 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 (+ (* 1 0) (+ (* 0 (- 1/8)) (+ (* (- 1/8) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 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 0) (* 0 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) * [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 (/ (/ 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]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 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 (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (pow (cos (/ 1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 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 (pow (cos (/ 1/2 K)) 2) 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 (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [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 (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) 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 0) (* 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 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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [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 (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) 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 0) (+ (* 0 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 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 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [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 (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 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 (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (pow (cos (/ -1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 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 (pow (cos (/ -1/2 K)) 2) 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 (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [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 (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) 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 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [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 (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) 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 0) (+ (* 0 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 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [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]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (330 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 10 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (204 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 4))) * [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))) 4))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 12 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (328 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 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (392 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (392 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 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (405 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (405 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 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow J 3)) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow 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))) (* (* -8 (pow J 3)) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* -8 (pow J 3)) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))) * * * * [misc]progress: [ 23 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (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 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (330 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (330 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (330 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (328 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (330 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (328 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 / 75 ] 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (sqrt (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 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 (- (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 36 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (487 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 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ U (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (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 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 44 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (pow U 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* U U) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* U U) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 45 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (/ K 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2))))) * * * * [misc]progress: [ 64 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1)) * * * * [misc]progress: [ 65 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K))))) * * * * [misc]progress: [ 66 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (/ (* 1/2 U) J) (cos (* 1/2 K))))) * * * * [misc]progress: [ 67 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (J K U) 0) * * * * [misc]progress: [ 68 / 75 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J -2)) * [misc]simplify: Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2))) * * * * [misc]progress: [ 69 / 75 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J -2)) * [misc]simplify: Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2))) * * * * [misc]progress: [ 70 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (/ U (/ J U)) (+ (/ 1/4 J) (/ (* K K) (/ J 1/16)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (/ J U)) (+ (/ 1/4 J) (/ (* K K) (/ J 1/16)))))))) * * * * [misc]progress: [ 71 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) * * * * [misc]progress: [ 72 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) * * * * [misc]progress: [ 73 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (/ U J) (+ 1/2 (* (* K K) 1/16))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ U J) (+ 1/2 (* (* K K) 1/16))) 2))))) * * * * [misc]progress: [ 74 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) 2))))) * * * * [misc]progress: [ 75 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) 2))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow 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 U) (+ (* (* 2 (/ J U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 * [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]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 0 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 (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 U)) 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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 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]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]taylor: Taking taylor expansion of (* 1/16 U) in U * [misc]taylor: Taking taylor expansion of 1/16 in U * [misc]backup-simplify: Simplify 1/16 into 1/16 * [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 (* 1/16 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* U (* 1 (/ 1 J)))) into (* 1/2 (/ U J)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (/ 1/2 K)) 2) 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 (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (/ 1/2 K)) 2) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/8 (pow (cos (/ 1/2 K)) 2)) into (/ 1/8 (pow (cos (/ 1/2 K)) 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 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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 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 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* -1 (/ (pow 0 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 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* 2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [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 (- 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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 (pow U 2) in 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)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) * [misc]backup-simplify: Simplify (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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]taylor: Taking taylor expansion of (pow U 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/8 (pow (cos (/ -1/2 K)) 2)) into (/ 1/8 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* 1 0) (+ (* 0 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 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow U 2) (pow 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 U) (+ (* (* 2 (/ J U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 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 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) 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 (* 1/2 (/ U (cos (* 1/2 K))))) 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)))) (* 1/2 (/ U (cos (* 1/2 K)))))) into (- U) * [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]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 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 (+ 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (/ (cos (* 1/2 K)) U)) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) 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]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]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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))) 1) 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]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 (+ 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 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 (+ (* -2 0) (* 0 (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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-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))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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))) (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 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 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (pow U 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 (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 U) into (pow U 2) * [misc]backup-simplify: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (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 (* 1 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 (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 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 (- (/ 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [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 (+ (* -2 0) (+ (* 0 0) (* 0 (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 (+ 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 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 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 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 U * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) 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 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* 2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [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 (- 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 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))) 1) 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]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 (+ 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 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 (+ (* 2 0) (* 0 (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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-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))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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))) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 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 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 2) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) 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 (pow U 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (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 (+ 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 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 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) 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 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 (+ (* 1 0) (+ (* 0 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 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 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [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 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 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]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 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (- (/ 0 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) 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 (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 U)) 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) 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]taylor: Taking taylor expansion of (* 1/16 U) in U * [misc]taylor: Taking taylor expansion of 1/16 in U * [misc]backup-simplify: Simplify 1/16 into 1/16 * [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 (+ (* 1/16 1) (* 0 0)) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [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 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) 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 (+ (* 1/16 (* U (* (pow K 2) (/ 1 J)))) (* 1/2 (* U (* 1 (/ 1 J))))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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]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]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 (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (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]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) 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 (+ (* 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]taylor: Taking taylor expansion of 0 in U * [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 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 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 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]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 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 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)))) (* 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]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) 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]taylor: Taking taylor expansion of 0 in U * [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 (+ (* U 0) (+ (* 0 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))))) (* 0 (/ 0 (* U (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 (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 U)) (* 1 (/ 1 J)))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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]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]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 (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (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]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 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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]taylor: Taking taylor expansion of 0 in U * [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 (+ (* (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 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 (- 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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]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 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 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 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) 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]taylor: Taking taylor expansion of 0 in U * [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 (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 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))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) 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 (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- U))) (* 1 (/ 1 (- J))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 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 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (* 1/2 K)) 2) 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 (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (pow U 2)) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow U 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) 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 (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/8)) (+ (* 0 0) (* (- 1/8) 1))) into -1/4 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ -1/4 1)) (* 0 (/ 0 1)))) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (* 1/4 (pow U 2))) (+ (* 0 0) (* 0 (pow U 2)))) into (* 1/16 (pow U 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (pow U 2)) in U * [misc]taylor: Taking taylor expansion of 1/16 in U * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (pow U 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/16 1) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))) (* 0 (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) 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 (+ (* 1/16 (pow (* U (* K (/ 1 J))) 2)) (* 1/4 (pow (* U (* 1 (/ 1 J))) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* 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 (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (/ 1/2 K)) 2) 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 (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (/ 1/2 K)) 2) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))) 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 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 (+ (* (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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K))))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [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 (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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]taylor: Taking taylor expansion of 0 in U * [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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 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 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 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 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 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 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)) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))) (* 0 (/ 0 (* 2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* U (cos (/ 1/2 K))))))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 U))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 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 (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 (/ 1 U)) (* 1 (/ 1 J))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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]taylor: Taking taylor expansion of (pow (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (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 (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 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 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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 (pow U 2) in 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)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* U U) into (pow U 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) * [misc]backup-simplify: Simplify (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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]taylor: Taking taylor expansion of (pow U 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))) 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 (+ (* U 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [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 (- 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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (* 0 (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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]taylor: Taking taylor expansion of 0 in U * [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 (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (* 0 (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (* 0 (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 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 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [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) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 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)) (* 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 (- 0) into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))) 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 (- 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))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))) (* 0 (/ 0 (* 2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (/ -1/2 K)) U))))))) 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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 U))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (* 0 (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (* 0 (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (* 0 (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (/ 1 (- U))) (* 1 (/ 1 (- J)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) (cbrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (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))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))))) * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * [exit]simplify: Simplified to (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 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))))) * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))) 3) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))) 3) 1)) (sqrt (+ (* 1 1) (- (* (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)) (* 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))))) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (* (/ 1/2 J) U) (cos (/ K 2))) 4))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- 1 (pow (/ (* (/ 1/2 J) U) (cos (/ K 2))) 4))) (sqrt (- 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * [exit]simplify: Simplified to (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))) (fabs (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (* 1/2 (/ U J)) (cos (/ K 2))) (/ (* 1/2 (/ U J)) (cos (/ K 2))))))) (+ (log (* -2 J)) (log (cos (/ K 2))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (* 1/2 (/ U J)) (cos (/ K 2))) (/ (* 1/2 (/ U J)) (cos (/ K 2))))))) (+ (log (* -2 J)) (log (cos (/ K 2))))))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (+ (log (* (cos (/ K 2)) (* -2 J))) (log (sqrt (+ 1 (* (/ (/ (* U 1/2) J) (cos (/ K 2))) (/ (/ (* U 1/2) J) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) (* -2 J))) (log (sqrt (+ 1 (* (/ (/ (* U 1/2) J) (cos (/ K 2))) (/ (/ (* U 1/2) J) (cos (/ K 2)))))))))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))) 1)) (+ (* (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))) (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))) 1)) (+ (* (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))) (* (* (* (pow J 3) -8) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (sqrt (+ 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (sqrt (+ 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * [exit]simplify: Simplified to (cbrt (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))) (* (cbrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) (cbrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 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 (* (cbrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) (cbrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * [exit]simplify: Simplified to (sqrt (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 (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (128 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)) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * [exit]simplify: Simplified to (sqrt (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 (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (128 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))) 1) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 34 / 86 ] 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)) (* 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))) (- 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) 3)))) (sqrt (+ (* (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2)))) (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))) (- 1 (* (/ (* U (/ 1/2 J)) (cos (/ K 2))) (/ (* U (/ 1/2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (159 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2) (pow (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2))))) (sqrt (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (pow (/ (* (* 2 J) (cos (/ K 2))) U) -1) 2))))) * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (* 2 J) (cos (/ K 2))) U)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos (/ K 2)) (/ (/ U 2) J))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ 1 (* (cbrt (/ (* (* 2 J) (cos (/ K 2))) U)) (cbrt (/ (* (* 2 J) (cos (/ K 2))) U)))) (cbrt (/ (cos (/ K 2)) (/ (/ U 2) J)))) 2))))) * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (* 2 J) (cos (/ K 2))) U)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos (/ K 2)) (/ (/ U 2) J))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ 1 (sqrt (/ (* (* 2 J) (cos (/ K 2))) U))) (sqrt (/ (cos (/ K 2)) (/ (/ U 2) J)))) 2))))) * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* 2 J) (cos (/ K 2))) U) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ 1 1) (* (cos (/ K 2)) (* (/ 2 U) J))) 2))))) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 U) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 U) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ 1 (* (* 2 J) (cos (/ K 2)))) (/ 1 U)) 2))))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log (/ (* (* 2 J) (cos (/ K 2))) U))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (log (* (/ (* 2 J) U) (cos (/ K 2)))) -2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (* (/ (* 2 J) U) (cos (/ K 2)))) -2)))))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* 2 J) (cos (/ K 2))) U) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (cos (/ K 2)) (* (/ 2 U) J)) (* -1 2)))))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* 2 J) (cos (/ K 2))) U) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (cos (/ K 2)) (* (/ 2 U) J)) (* (- 1) 2)))))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (/ J U)) (cos (/ K 2))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ 1/2 (/ J U)) (cos (/ K 2))) (* 1 2)))))) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U))) (cbrt (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)))) 2) * * [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 (93 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (cbrt (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) (pow (cbrt (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U))) 2)))))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (266 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U))) 2)))))) * * * * [misc]progress: [ 64 / 86 ] 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) * * * * [misc]progress: [ 65 / 86 ] 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 (/ 1 (/ (* (* 2 J) (cos (/ K 2))) U)) 2)))))) * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2)))) (pow U 2)))))) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ U J) 1/2) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (/ U J) 1/2))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1)) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1)) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (J K U) 0) * * * * [misc]progress: [ 79 / 86 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J -2)) * [misc]simplify: Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2))) * * * * [misc]progress: [ 80 / 86 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J -2)) * [misc]simplify: Simplified (2) to (λ (J K U) (* (cos (* K 1/2)) (* J -2))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (/ U J) (+ 1/2 (* (* K K) 1/16))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ U J) (+ 1/2 (* (* K K) 1/16))) 2))))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) 2))))) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) 2))))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (/ U (/ J U)) (+ (/ 1/4 J) (/ (* K K) (/ J 1/16)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (/ J U)) (+ (/ 1/4 J) (/ (* K K) (/ J 1/16)))))))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (/ 1/4 (* (/ J U) (/ J U))) (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) * * * [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 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) into (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) into (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) into (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) * [misc]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 1) (+ (* (* 2 (* (cos (* 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (log (* 2 (/ J U))) into (log (* 2 (/ J U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ J U)))) into (* -2 (log (* 2 (/ J U)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ J U))))) into (pow (* 2 (/ J U)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ J U)) -2)) into (+ (pow (* 2 (/ J U)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ J U)) -2) 1)) into (sqrt (+ (pow (* 2 (/ J U)) -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 U) (+ (* (* 2 (/ J U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ J U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ J U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ J U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ J U)) -2) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (* 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 (* 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 (* 2 (/ (cos (* 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (/ (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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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]backup-simplify: Simplify (* 2 (/ 1 U)) into (/ 2 U) * [misc]backup-simplify: Simplify (log (/ 2 U)) into (log (/ 2 U)) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 2 U))) into (+ (log J) (log (/ 2 U))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (/ 2 U)))) into (* -2 (+ (log J) (log (/ 2 U)))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (/ 2 U))))) into (exp (* -2 (+ (log J) (log (/ 2 U))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (/ 2 U)))))) into (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) into (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) * [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 U) (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (/ 2 U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 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 (/ 2 U))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [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 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) 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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/8) U) (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into (- (* 1/8 (/ 1 U))) * [misc]backup-simplify: Simplify (+ (* 2 (- (* 1/8 (/ 1 U)))) (+ (* 0 0) (* 0 (/ 1 U)))) into (- (* 1/4 (/ 1 U))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 U) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 U)))) 1)) (pow (/ 2 U) 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* -2 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log (/ 2 U)))))) into 1/4 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/4 1) 1)))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U))))))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) into (* 1/8 (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))))) * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 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 J) (log (/ 2 U))))) (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (log U)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) into (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) (/ 0 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) into (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U))))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) into (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) into (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log 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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log 2)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) (+ (* (/ (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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) 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 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) (pow (* 1 (* K 1)) 2)) (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) into (+ (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) into (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) into (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) * [misc]backup-simplify: Simplify (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) into (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) * [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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* U (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 (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 (* U (cos (/ 1/2 K)))) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (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 (* U (cos (/ 1/2 K))))) (- (log J))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* U (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (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 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 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 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* 2 (cos (/ 1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ 1/2 K))))) into (+ (log U) (log (* 2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (- (log J))) into (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) into (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (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 U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (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 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 (+ (* 2 0) (+ (* 0 (cos (/ 1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log U) (log (* 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 (* 2 (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) * [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 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 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 (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (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 (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (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 (sqrt (+ (exp (* -2 (- (+ (log (/ 1 U)) (log (* 2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 J))))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) into (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2)) into (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) into (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) * [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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ -1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 (* (cos (/ -1/2 K)) U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (* (cos (/ -1/2 K)) U))) (- (log J))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 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 (+ (* 2 (cos (/ -1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ -1/2 K))))) into (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (- (log J))) into (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) into (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) into (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (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 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 (+ (* 2 0) (+ (* 0 (cos (/ -1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) * [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 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 (- 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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- U)))) (log (/ 1 (- J)))))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) into (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) into (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) into (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) * [misc]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 1) (+ (* (* 2 (* (cos (* 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (log (* 2 (/ J U))) into (log (* 2 (/ J U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ J U)))) into (* -2 (log (* 2 (/ J U)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ J U))))) into (pow (* 2 (/ J U)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ J U)) -2)) into (+ (pow (* 2 (/ J U)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ J U)) -2) 1)) into (sqrt (+ (pow (* 2 (/ J U)) -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 U) (+ (* (* 2 (/ J U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ J U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ J U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ J U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ J U)) -2) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 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 (* (cos (* 1/2 K)) (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (* 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 (* 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 (* 2 (/ (cos (* 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (/ (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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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]backup-simplify: Simplify (* 2 (/ 1 U)) into (/ 2 U) * [misc]backup-simplify: Simplify (log (/ 2 U)) into (log (/ 2 U)) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 2 U))) into (+ (log J) (log (/ 2 U))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (/ 2 U)))) into (* -2 (+ (log J) (log (/ 2 U)))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (/ 2 U))))) into (exp (* -2 (+ (log J) (log (/ 2 U))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (/ 2 U)))))) into (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) into (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) * [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 U) (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (/ 2 U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 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 (/ 2 U))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) into (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) * [misc]backup-simplify: Simplify (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) into (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) into (- (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 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 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) into (* 2 (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) into (- (* 2 (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) into (- (* 2 (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))))) 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 J) (log (/ 2 U))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 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 J) (log 2)) (log U)))) 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 J) (log 2)) (log U)))) 1)))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) J)) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) into (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) into (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) * [misc]backup-simplify: Simplify (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) into (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) * [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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* U (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 (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 K))) (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))) into (* -2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 (* U (cos (/ 1/2 K)))) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (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 (* U (cos (/ 1/2 K))))) (- (log J))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* U (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (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 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* -2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 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 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* 2 (cos (/ 1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ 1/2 K))))) into (+ (log U) (log (* 2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (- (log J))) into (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) into (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (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 U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (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 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 (+ (* 2 0) (+ (* 0 (cos (/ 1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log U) (log (* 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 (* 2 (cos (/ 1/2 K))))) (log J)))) 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 U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* -2 (* (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (* -2 (* (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 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 (* 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 (+ (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 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 U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) (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]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 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 (- (+ (* (/ 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 (* 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 (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (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 (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 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 U)) (log (* 2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 J))))) 1)) (cos (/ 1/2 (/ 1 K))))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1)))) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) into (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2)) into (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) into (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) * [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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ -1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 K))) (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))) into (* 2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 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 (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 (* (cos (/ -1/2 K)) U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (* (cos (/ -1/2 K)) U))) (- (log J))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 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 (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K))) into (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K)))) into (* 2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 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 (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 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 (+ (* 2 (cos (/ -1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ -1/2 K))))) into (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (- (log J))) into (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) into (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) into (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (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 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 (+ (* 2 0) (+ (* 0 (cos (/ -1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) (cos (/ -1/2 K))) into (* (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (* (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) (cos (/ -1/2 K)))) into (* 2 (* (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (* 2 (* (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) (cos (/ -1/2 K)))) into (* 2 (* (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 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 (- 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 (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) (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]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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 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 (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 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 (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- U)))) (log (/ 1 (- J)))))) 1)) (cos (/ -1/2 (/ 1 (- K)))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) into (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (log (* 2 (/ J U))) into (log (* 2 (/ J U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ J U)))) into (* -2 (log (* 2 (/ J U)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ J U))))) into (pow (* 2 (/ J U)) -2) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (* 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 (* 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 (* 2 (/ (cos (* 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (/ (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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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]backup-simplify: Simplify (* 2 (/ 1 U)) into (/ 2 U) * [misc]backup-simplify: Simplify (log (/ 2 U)) into (log (/ 2 U)) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 2 U))) into (+ (log J) (log (/ 2 U))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (/ 2 U)))) into (* -2 (+ (log J) (log (/ 2 U)))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (/ 2 U))))) into (exp (* -2 (+ (log J) (log (/ 2 U))))) * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (log U)))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (log U)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) (+ (* (/ (pow 0 1) 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 (- (/ 0 U) (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (/ 2 U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (* (/ (pow 0 1) 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 (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (+ (* (/ (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 (- (/ 0 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) 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]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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/8) U) (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into (- (* 1/8 (/ 1 U))) * [misc]backup-simplify: Simplify (+ (* 2 (- (* 1/8 (/ 1 U)))) (+ (* 0 0) (* 0 (/ 1 U)))) into (- (* 1/4 (/ 1 U))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 U) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 U)))) 1)) (pow (/ 2 U) 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* -2 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log (/ 2 U)))))) into 1/4 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/4 1) 1)))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (log U)))) * [misc]backup-simplify: Simplify (* 1/4 (exp (* -2 (- (+ (log J) (log 2)) (log U))))) into (* 1/4 (exp (* -2 (- (+ (log J) (log 2)) (log U))))) * [misc]backup-simplify: Simplify (* 1/4 (exp (* -2 (- (+ (log J) (log 2)) (log U))))) into (* 1/4 (exp (* -2 (- (+ (log J) (log 2)) (log 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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log 2)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) (+ (* (/ (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]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 (+ (* (* 1/4 (exp (* -2 (- (+ (log J) (log 2)) (log U))))) (pow (* 1 (* K 1)) 2)) (exp (* -2 (- (+ (log J) (log 2)) (log U))))) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (* 1/4 (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) * [misc]approximate: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) into (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 (* U (cos (/ 1/2 K)))) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (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 (* U (cos (/ 1/2 K))))) (- (log J))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 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 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* 2 (cos (/ 1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ 1/2 K))))) into (+ (log U) (log (* 2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (- (log J))) into (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) into (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (+ (log U) (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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* U (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]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 (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* U (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (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 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 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 0 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 (+ (* 2 0) (+ (* 0 (cos (/ 1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log U) (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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* U (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]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 (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (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 (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (* -2 (- (+ (log (/ 1 U)) (log (* 2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 J))))) into (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) into (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 (* (cos (/ -1/2 K)) U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (* (cos (/ -1/2 K)) U))) (- (log J))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 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 (+ (* 2 (cos (/ -1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ -1/2 K))))) into (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (- (log J))) into (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) into (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (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]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 U)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 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 0 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 (+ (* 2 0) (+ (* 0 (cos (/ -1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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) 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) 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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (* -2 (- (+ (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- U)))) (log (/ 1 (- J)))))) into (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 J)) into (* 2 J) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (fabs (cbrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1))) (sqrt (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ 1 (pow (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))) (* 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))))) * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2) (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- 1 (* (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2) (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2)))) (sqrt (- 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1))))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2) 1)) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2) 1)) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2) 1)) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2) 1)) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2) 1)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2) 1)))))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (pow (* (cos (/ K 2)) (* (/ J U) 2)) -2)))) (log (* (cos (/ K 2)) (* -2 J)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (pow (* (cos (/ K 2)) (* (/ J U) 2)) -2)))) (log (* (cos (/ K 2)) (* -2 J)))))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (pow (* (/ 2 (/ U J)) (cos (/ K 2))) -2) (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (sqrt (+ (pow (* (/ 2 (/ U J)) (cos (/ K 2))) -2) 1))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (+ (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* (pow (* (/ 2 (/ U J)) (cos (/ K 2))) -2) (* (* (* -8 (pow J 3)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (sqrt (+ (pow (* (/ 2 (/ U J)) (cos (/ K 2))) -2) 1))))) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (* (+ (* (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (sqrt (+ (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2) 1))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (+ (* (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (pow (* (cos (/ K 2)) (* -2 J)) 3)) (sqrt (+ (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2) 1))))) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) (cbrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (cbrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (sqrt (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1)))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1)))) * * * * [misc]progress: [ 34 / 80 ] 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))) (* 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (sqrt (+ (- 1 (pow (* (* (/ J U) 2) (cos (/ K 2))) -2)) (* (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) (pow (* (* (/ J U) 2) (cos (/ K 2))) -2)))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) 3)))) (sqrt (+ (- 1 (pow (* (* (/ J U) 2) (cos (/ K 2))) -2)) (* (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) (pow (* (* (/ J U) 2) (cos (/ K 2))) -2)))))) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (- 1 (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2))))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (* 2 J) (cos (/ K 2))) U)) (* -1 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (* -2 (log (/ (cos (/ K 2)) (/ (/ U J) 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* -2 (log (/ (cos (/ K 2)) (/ (/ U J) 2))))))))) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* 2 J) (cos (/ K 2))) U) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (cos (/ K 2)) (* (/ 2 U) J)) (* 1 (* -1 2))))))) * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (* 2 J) (cos (/ K 2))) U) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (* (/ (cos (/ K 2)) (/ U (* 2 J))) (/ (cos (/ K 2)) (/ U (* 2 J)))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ 1 (* (/ (cos (/ K 2)) (/ U (* 2 J))) (/ (cos (/ K 2)) (/ U (* 2 J))))))))) * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (* (* 2 J) (cos (/ K 2))) U)) (cbrt (/ (* (* 2 J) (cos (/ K 2))) U))) (* -1 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (* (cos (/ K 2)) (* (/ 2 U) J))) (cbrt (* (cos (/ K 2)) (* (/ 2 U) J)))) -2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (* (cbrt (* (cos (/ K 2)) (* (/ 2 U) J))) (cbrt (* (cos (/ K 2)) (* (/ 2 U) J)))) -2) (pow (cbrt (/ (* (* 2 J) (cos (/ K 2))) U)) (* -1 2))))))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (* (* 2 J) (cos (/ K 2))) U)) (* -1 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (pow (sqrt (* (cos (/ K 2)) (/ J (/ U 2)))) -2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (sqrt (* (cos (/ K 2)) (/ J (/ U 2)))) -2) (pow (sqrt (/ (* (* 2 J) (cos (/ K 2))) U)) (* -1 2))))))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (* -1 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (* 2 J) (cos (/ K 2))) (* -1 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (pow (* (* 2 J) (cos (/ K 2))) -2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (* (* 2 J) (cos (/ K 2))) -2) (pow (/ 1 U) (* -1 2))))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* 2 J) (cos (/ K 2))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (pow (* (* 2 J) (cos (/ K 2))) 1) U) (* -1 2)))))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 2 J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (* 2 J)) (log (cos (/ K 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (exp (+ (log (* 2 J)) (log (cos (/ K 2))))) U) (* -1 2)))))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* (* J J) (* 8 J))) (* (cos (/ K 2)) (cos (/ K 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (cbrt (* (* (cos (/ K 2)) (* (* J J) (* 8 J))) (* (cos (/ K 2)) (cos (/ K 2))))) U) (* -1 2)))))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 80 ] 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 2 1 2 1 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) U) (* -1 2)))))) * * * * [misc]progress: [ 65 / 80 ] 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 2 1 2 1 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* (* 2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) U) (* -1 2)))))) * * * * [misc]progress: [ 66 / 80 ] 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 2 1 2 1 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (* (* 2 J) 1) (cos (/ K 2))) U) (* -1 2)))))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) (* (* 1/32 (pow J -2)) (* (pow U 2) (* K K)))) (sqrt (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (+ (* (sqrt (/ 1 (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) (* (* 1/32 (pow J -2)) (* (pow U 2) (* K K)))) (sqrt (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (exp -2) (+ (log (cos (* 1/2 K))) (- (+ (log J) (log 2)) (log U)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (exp -2) (+ (log (cos (* 1/2 K))) (- (+ (log J) (log 2)) (log U)))))))) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2)))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2)))))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) J)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (+ 1 (* 1/4 (pow (/ J U) -2))))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (* -2 J) (sqrt (+ 1 (* 1/4 (pow (/ J U) -2)))))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (* K 1/2))) (sqrt (+ (pow (exp -2) (+ (log (cos (* K 1/2))) (+ (- (log J) (log U)) (log 2)))) 1))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (* (* J -2) (cos (* K 1/2))) (sqrt (+ (pow (exp -2) (+ (log (cos (* K 1/2))) (+ (- (log J) (log U)) (log 2)))) 1)))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* 2 (cos (* K 1/2))) -2)))) (* (* J -2) (cos (* K 1/2)))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* 2 (cos (* K 1/2))) -2)))) (* (* J -2) (cos (* K 1/2))))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (* 1/4 (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (* (+ 1 (* 1/4 (* K K))) (pow (* (/ 2 U) J) -2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (+ 1 (* 1/4 (* K K))) (pow (* (/ 2 U) J) -2)))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (pow (exp -2) (+ (log (cos (* 1/2 K))) (- (+ (log 2) (log J)) (log U)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (exp -2) (+ (log (cos (* 1/2 K))) (- (+ (log 2) (log J)) (log U)))))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2)))))) * * * * [misc]progress: [ 78 / 80 ] 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 2 1 2 1 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* 2 J) U) (* -1 2)))))) * * * * [misc]progress: [ 79 / 80 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J 2)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (cos (* K 1/2)) (* J 2)) U) (* -1 2)))))) * * * * [misc]progress: [ 80 / 80 ] 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 (20 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J 2)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* (cos (* K 1/2)) (* J 2)) U) (* -1 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 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 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 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) into (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) into (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) into (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) * [misc]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 1) (+ (* (* 2 (* (cos (* 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (log (* 2 (/ J U))) into (log (* 2 (/ J U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ J U)))) into (* -2 (log (* 2 (/ J U)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ J U))))) into (pow (* 2 (/ J U)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ J U)) -2)) into (+ (pow (* 2 (/ J U)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ J U)) -2) 1)) into (sqrt (+ (pow (* 2 (/ J U)) -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 U) (+ (* (* 2 (/ J U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ J U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ J U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ J U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ J U)) -2) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (* 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 (* 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 (* 2 (/ (cos (* 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (/ (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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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]backup-simplify: Simplify (* 2 (/ 1 U)) into (/ 2 U) * [misc]backup-simplify: Simplify (log (/ 2 U)) into (log (/ 2 U)) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 2 U))) into (+ (log J) (log (/ 2 U))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (/ 2 U)))) into (* -2 (+ (log J) (log (/ 2 U)))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (/ 2 U))))) into (exp (* -2 (+ (log J) (log (/ 2 U))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (/ 2 U)))))) into (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) into (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) * [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 U) (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (/ 2 U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 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 (/ 2 U))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [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 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) 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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/8) U) (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into (- (* 1/8 (/ 1 U))) * [misc]backup-simplify: Simplify (+ (* 2 (- (* 1/8 (/ 1 U)))) (+ (* 0 0) (* 0 (/ 1 U)))) into (- (* 1/4 (/ 1 U))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 U) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 U)))) 1)) (pow (/ 2 U) 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* -2 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log (/ 2 U)))))) into 1/4 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/4 1) 1)))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U))))))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) into (* 1/8 (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))))) * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 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 J) (log (/ 2 U))))) (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (log U)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) into (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) (/ 0 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) into (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U))))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) into (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) into (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log 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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log 2)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) (+ (* (/ (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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) 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 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) (pow (* 1 (* K 1)) 2)) (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) into (+ (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) into (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) into (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) * [misc]backup-simplify: Simplify (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) into (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) * [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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* U (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 (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 (* U (cos (/ 1/2 K)))) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (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 (* U (cos (/ 1/2 K))))) (- (log J))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* U (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (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 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 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 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* 2 (cos (/ 1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ 1/2 K))))) into (+ (log U) (log (* 2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (- (log J))) into (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) into (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (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 U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (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 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 (+ (* 2 0) (+ (* 0 (cos (/ 1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log U) (log (* 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 (* 2 (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) * [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 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 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 (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (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 (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (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 (sqrt (+ (exp (* -2 (- (+ (log (/ 1 U)) (log (* 2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 J))))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) into (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2)) into (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) into (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) * [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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ -1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 (* (cos (/ -1/2 K)) U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (* (cos (/ -1/2 K)) U))) (- (log J))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 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 (+ (* 2 (cos (/ -1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ -1/2 K))))) into (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (- (log J))) into (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) into (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) into (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (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 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 (+ (* 2 0) (+ (* 0 (cos (/ -1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) * [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 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 (- 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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- U)))) (log (/ 1 (- J)))))) 1)) into (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in J * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in J * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]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)) (* 1/2 U)) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 U)) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 (* 1/2 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in U * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in U * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* J 2) into (* 2 J) * [misc]backup-simplify: Simplify (/ 1 (* 2 J)) into (/ 1/2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]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)) (/ 1/2 J)) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* J 2) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (/ U J))) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 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 (+ (* J 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* J 2) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (/ U J))) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 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 (+ (* J 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/8) (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))) (* 0 (/ 0 (* 1/2 (/ U J)))))) into (- (* 1/4 (/ J U))) * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ (- (* 1/4 (/ J U))) (* 2 (/ J U)))) (* 0 (/ 0 (* 2 (/ J U)))))) into (* 1/16 (/ U J)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 1/16 (/ U J)) (* 1/2 (/ U J))))) into (* 1/16 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/16 (/ (pow U 2) (pow J 2))) 0) into (* 1/16 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (/ (pow U 2) (pow J 2))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]taylor: Taking taylor expansion of (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in U * [misc]taylor: Taking taylor expansion of 1/32 in U * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) * [misc]backup-simplify: Simplify (+ (/ 1/4 (pow J 2)) 0) into (* 1/4 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (pow J 2)) * [misc]taylor: Taking taylor expansion of (/ 1/8 (pow J 2)) in J * [misc]taylor: Taking taylor expansion of 1/8 in J * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (/ 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/8 (/ 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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))) (* 0 (/ 0 (* 1/2 (/ U J)))) (* (- (* 1/4 (/ J U))) (/ 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))) (* 0 (/ (- (* 1/4 (/ J U))) (* 2 (/ J U)))) (* (* 1/16 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (+ (* 0 (* 1/16 (/ U J))) (+ (* (* 1/16 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (pow J 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in J * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in J * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in J * [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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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)) (/ 1/2 U)) into (* 2 (* 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]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in U * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in U * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in U * [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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 J) 2) into (/ 2 J) * [misc]backup-simplify: Simplify (/ 1 (/ 2 J)) into (* 1/2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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)) (* 1/2 J)) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 J) (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 J)) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 (* 1/2 J))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 J) 2) into (/ 2 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ 1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* 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 (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 (+ (* (/ 1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 J) 2) into (/ 2 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ 1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* 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 (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 (+ (* (/ 1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U * [misc]taylor: Taking taylor expansion of (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (/ 1/2 K)) 2) 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 (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 J)) into 0 * [misc]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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))) (* 0 (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 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 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) * [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)) 1) into (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 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 1) (+ (* (cos (/ 1/2 K)) (/ 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 (+ (* (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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))) (* 0 (/ 0 (/ 2 J))) (* 0 (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 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 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* (/ 1 (/ 1 U)) 1))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in J * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in J * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in J * [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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 U) -2) into (/ 1/2 U) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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)) (/ 1/2 U)) into (* 2 (* (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]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in U * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in U * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in U * [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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 J) 2) into (/ -2 J) * [misc]backup-simplify: Simplify (/ -1 (/ -2 J)) into (* 1/2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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)) (* 1/2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 J) (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 J)) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 (* 1/2 J))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* 2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 J) 2) into (/ -2 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ -1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (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 (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 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 (+ (* (/ -1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 J) 2) into (/ -2 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ -1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (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 (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 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 (+ (* (/ -1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U * [misc]taylor: Taking taylor expansion of (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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]taylor: Taking taylor expansion of (pow U 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]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [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]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))) (* 0 (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 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 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) * [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)) 1) into (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 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 1) (+ (* (cos (/ -1/2 K)) (/ 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 (+ (* (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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))) (* 0 (/ 0 (/ -2 J))) (* 0 (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 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 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* (/ 1 (/ 1 (- U))) 1))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in J * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in J * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]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)) (* 1/2 U)) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (* 1/2 K)) U))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 U)) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 (* 1/2 U))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ U (cos (* 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in U * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in U * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* J 2) into (* 2 J) * [misc]backup-simplify: Simplify (/ 1 (* 2 J)) into (/ 1/2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]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)) (/ 1/2 J)) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* J 2) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (/ U J))) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 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 (+ (* J 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ K 2)) (/ U (* J 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (* J 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 (* J 2) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* J 2) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (/ U J))) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ J U))) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 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 (+ (* J 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))) 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 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) * [misc]backup-simplify: Simplify (+ (/ 1/4 (pow J 2)) 0) into (* 1/4 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (pow J 2)))) 1)) (pow 1 1)))) 2) into (/ 1/4 (pow J 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ 1/4 (pow J 2))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/8) (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))) (* 0 (/ 0 (* 1/2 (/ U J)))))) into (- (* 1/4 (/ J U))) * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ (- (* 1/4 (/ J U))) (* 2 (/ J U)))) (* 0 (/ 0 (* 2 (/ J U)))))) into (* 1/16 (/ U J)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 1/16 (/ U J)) (* 1/2 (/ U J))))) into (* 1/16 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/16 (/ (pow U 2) (pow J 2))) 0) into (* 1/16 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (/ (pow U 2) (pow J 2))) (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (/ (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))) * [misc]taylor: Taking taylor expansion of (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))) in U * [misc]taylor: Taking taylor expansion of 1/64 in U * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]taylor: Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)) in U * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) in U * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) * [misc]backup-simplify: Simplify (+ (/ 1/4 (pow J 2)) 0) into (* 1/4 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/4 (/ 1 (pow J 2)))) (+ (* 0 0) (* (* 1/4 (/ 1 (pow J 2))) 1))) into (* 1/2 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ 1 (pow J 2)))) (+ (* 0 0) (* (* 1/4 (/ 1 (pow J 2))) 1))) into (* 3/4 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 3/4 (/ 1 (pow J 2))) 1)) (* 0 (/ 0 1)))) into (- (* 3/4 (/ 1 (pow J 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ -3/4 (pow J 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -3/4 (pow J 2))) (+ (* 0 0) (* 0 0))) into (- (* 3/16 (/ 1 (pow J 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (pow J 2))) 1) 1)))) into (/ 1/16 (pow J 2)) * [misc]taylor: Taking taylor expansion of (/ 1/16 (pow J 2)) in J * [misc]taylor: Taking taylor expansion of 1/16 in J * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (/ 1/16 1) into 1/16 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/16 (/ 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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))) (* 0 (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ U J))) (+ (* (* 2 (/ J U)) (/ 0 (* 1/2 (/ U J)))) (* 0 (/ 0 (* 1/2 (/ U J)))) (* (- (* 1/4 (/ J U))) (/ 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 (/ J U)))) (* 0 (/ (- (* 1/4 (/ J U))) (* 2 (/ J U)))) (* (* 1/16 (/ U J)) (/ 0 (* 2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) 0) (+ (* 0 (* 1/16 (/ U J))) (+ (* (* 1/16 (/ U J)) 0) (* 0 (* 1/2 (/ U J)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))))))) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (/ 1 (pow J 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/4 (pow J 2))) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/16 (/ 1 (pow J 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1))) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in J * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in J * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in J * [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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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)) (/ 1/2 U)) into (* 2 (* 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]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in U * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in U * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in U * [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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 J) 2) into (/ 2 J) * [misc]backup-simplify: Simplify (/ 1 (/ 2 J)) into (* 1/2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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)) (* 1/2 J)) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 J) (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 J)) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 (* 1/2 J))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J (cos (/ 1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 J) 2) into (/ 2 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ 1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* 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 (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 (+ (* (/ 1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 K) 2)) (/ (/ 1 U) (* (/ 1 J) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (/ 1 J) 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 (* (/ 1 J) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 J) 2) into (/ 2 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ 1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (* 1/2 (/ J (* 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 (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [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 (+ (* (/ 1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) 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 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U * [misc]taylor: Taking taylor expansion of (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U * [misc]taylor: Taking taylor expansion of (pow U 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 (pow (cos (/ 1/2 K)) 2) 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 (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (pow (cos (/ 1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))) (* 0 (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 J)) into 0 * [misc]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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 2 J))) (* 0 (/ 0 (/ 2 J))) (* 0 (/ 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ 1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 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 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (pow (cos (/ 1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 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)) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 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 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 * [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 (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1))) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in J * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in J * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in J * [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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (/ -1 U) -2) into (/ 1/2 U) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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)) (/ 1/2 U)) into (* 2 (* (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]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in U * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in U * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in U * [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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 J) 2) into (/ -2 J) * [misc]backup-simplify: Simplify (/ -1 (/ -2 J)) into (* 1/2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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)) (* 1/2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 J) (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 J)) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 (* 1/2 J))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* 2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J (cos (/ -1/2 K)))) (* 2 (sqrt 0))) into (* +nan.0 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 J) 2) into (/ -2 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ -1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (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 (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 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 (+ (* (/ -1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) 1) in K * [misc]taylor: Taking taylor expansion of (pow (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) -2) in K * [misc]taylor: Taking taylor expansion of (/ (cos (/ (/ 1 (- K)) 2)) (/ (/ 1 (- U)) (* (/ 1 (- J)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (/ 1 (- J)) 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 (* (/ 1 (- J)) 2) in K * [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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 J) 2) into (/ -2 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -2 J)) into (* 1/2 (/ J U)) * [misc]backup-simplify: Simplify (/ (cos (/ -1/2 K)) (* 1/2 (/ J U))) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (* 1/2 (/ J (* (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 (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 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 (+ (* (/ -1 J) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) 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 (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U * [misc]taylor: Taking taylor expansion of (pow J 2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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]taylor: Taking taylor expansion of (pow U 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]backup-simplify: Simplify (* J J) into (pow J 2) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (pow (cos (/ -1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [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 (- 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))) (* 0 (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -2 J))) (* 0 (/ 0 (/ -2 J))) (* 0 (/ 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (/ J U))) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))) (* 0 (/ 0 (* 1/2 (/ J U)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))) (* 0 (/ 0 (* 2 (/ (* U (cos (/ -1/2 K))) J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) * [misc]taylor: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (pow (cos (/ -1/2 K)) 2) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (pow J 2) 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 (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 * [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 (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]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 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ (* 2 (* (cos (* 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) into (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) into (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) into (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))) * [misc]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 1) (+ (* (* 2 (* (cos (* 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 2 (* (cos (* 1/2 K)) J)))) into (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))))) into (pow (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* -2 (- (log (* 2 (* (cos (* 1/2 K)) J))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ (* 2 J) U) into (* 2 (/ J U)) * [misc]backup-simplify: Simplify (log (* 2 (/ J U))) into (log (* 2 (/ J U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ J U)))) into (* -2 (log (* 2 (/ J U)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ J U))))) into (pow (* 2 (/ J U)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ J U)) -2)) into (+ (pow (* 2 (/ J U)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ J U)) -2) 1)) into (sqrt (+ (pow (* 2 (/ J U)) -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 U) (+ (* (* 2 (/ J U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ J U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ J U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ J U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ J U)) -2) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow (* 2 (/ J U)) -2) 1))) into (pow (+ (pow (* 2 (/ J U)) -2) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (* 2 (/ J U)) -2) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))) into (pow (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U)))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 J) (cos (/ K 2))) U))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 J) (cos (/ K 2))) U)) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 J) (cos (/ K 2))) U) 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 U in J * [misc]backup-simplify: Simplify U into U * [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 (/ (* 2 (cos (* 1/2 K))) U) into (* 2 (/ (cos (* 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (/ (cos (* 1/2 K)) U))) into (log (* 2 (/ (cos (* 1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) into (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))) into (pow (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))))) 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (* 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 (* 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 (* 2 (/ (cos (* 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (/ (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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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]backup-simplify: Simplify (* 2 (/ 1 U)) into (/ 2 U) * [misc]backup-simplify: Simplify (log (/ 2 U)) into (log (/ 2 U)) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 2 U))) into (+ (log J) (log (/ 2 U))) * [misc]backup-simplify: Simplify (* -2 (+ (log J) (log (/ 2 U)))) into (* -2 (+ (log J) (log (/ 2 U)))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log J) (log (/ 2 U))))) into (exp (* -2 (+ (log J) (log (/ 2 U))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log J) (log (/ 2 U)))))) into (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) into (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) into (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) into (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) into (* 1/4 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) into (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1/4) into (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1/4) * [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 (- (/ 0 U) (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log J) (log (/ 2 U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 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 (/ 2 U))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) (+ (* (/ (pow 0 1) 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 (- (/ 0 1) (+ (* 2 (/ 0 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 0) (* 0 (- (+ (log J) (log 2)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) (+ (* (/ (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 (- (/ 0 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) 1/4))) 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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/8) U) (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into (- (* 1/8 (/ 1 U))) * [misc]backup-simplify: Simplify (+ (* 2 (- (* 1/8 (/ 1 U)))) (+ (* 0 0) (* 0 (/ 1 U)))) into (- (* 1/4 (/ 1 U))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 2 U) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 U)))) 1)) (pow (/ 2 U) 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* -2 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log (/ 2 U)))))) into 1/4 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/4 1) 1)))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U))))))) into (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (exp (* -2 (+ (log J) (log (/ 2 U))))))) 1)) (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 1)))) 2) into (* 1/4 (/ (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) * [misc]backup-simplify: Simplify (+ (* 1/4 (* 1/4 (/ (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) (+ (* 0 0) (* 0 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))))) into (* 1/16 (/ (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ (exp (* -2 (+ (log J) (log (/ 2 U))))) (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1))) 1) 1)))) into (* 1/16 (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (pow (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3)) 1/4))) * [misc]taylor: Taking taylor expansion of (* 1/16 (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (pow (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3)) 1/4))) in U * [misc]taylor: Taking taylor expansion of 1/16 in U * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (* (exp (* -2 (+ (log J) (log (/ 2 U))))) (pow (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3)) 1/4)) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3)) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3)))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3)) in U * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) 3) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (+ (log J) (log (/ 2 U))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (+ (log J) (log (/ 2 U))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (+ (log J) (log (/ 2 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 (/ 2 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 (/ 2 U)) in U * [misc]taylor: Taking taylor expansion of (/ 2 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 U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 U)) (log 2)) into (- (log 2) (log U)) * [misc]backup-simplify: Simplify (+ (log J) (- (log 2) (log U))) into (- (+ (log J) (log 2)) (log U)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log J) (log 2)) (log U))) into (* -2 (- (+ (log J) (log 2)) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log J) (log 2)) (log U)))) into (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) into (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) * [misc]backup-simplify: Simplify (* (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)) into (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 2) * [misc]backup-simplify: Simplify (* (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 2)) into (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) into (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3))) into (log (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)))) into (* 1/4 (log (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3))))) into (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (log U)))) (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4)) into (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (exp (* -2 (- (+ (log J) (log 2)) (log U))))) * [misc]backup-simplify: Simplify (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) into (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) * [misc]backup-simplify: Simplify (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) into (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (exp (* -2 (- (+ (log J) (log 2)) (log 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 (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log 2)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log J) (log 2)) (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 2)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (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 U) (+ (* (* 2 (/ (cos (* 1/2 K)) U)) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (cos (* 1/2 K)) U)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (* 2 (/ (cos (* 1/2 K)) U)))) into (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))) (+ (* (/ (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 (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ 1 (exp (* -2 (+ (log J) (log (* 2 (/ (cos (* 1/2 K)) U))))))) 1/4))) 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 (+ (* (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (exp (* -2 (- (+ (log J) (log 2)) (log U)))))) (pow (* 1 (* K 1)) 2)) (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1/4)) into (+ (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1/4)) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) 1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 (/ (cos (/ 1/2 K)) J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ 1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1))) into (pow (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ 1/2 K)) J))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2))))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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 (/ (* 2 (/ (cos (/ 1/2 K)) J)) (/ 1 U)) into (* 2 (/ (* U (cos (/ 1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) into (log (* 2 (/ (* U (cos (/ 1/2 K))) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) into (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) into (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) * [misc]backup-simplify: Simplify (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) into (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))) * [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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (/ (* U (cos (/ 1/2 K))) J)) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* U (cos (/ 1/2 K))) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* U (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 (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)))) into (pow (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (pow (* 2 (/ (* U (cos (/ 1/2 K))) J)) -2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))) into (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 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 (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ 1 U)) 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 (/ 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]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))) (/ 1 U)) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))) into (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 (* U (cos (/ 1/2 K)))) into (* 2 (* U (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 2 (* U (cos (/ 1/2 K))))) into (log (* 2 (* U (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 (* U (cos (/ 1/2 K))))) (- (log J))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) into (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))) into (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* 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 (* 2 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 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* 2 (cos (/ 1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ 1/2 K))))) into (+ (log U) (log (* 2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (- (log J))) into (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) into (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (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 U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) into (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1))) into (* 1/4 (log (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) 1/4) into (pow (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) 1) 1/4) * [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 (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* U (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* U (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 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 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 0 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 (+ (* 2 0) (+ (* 0 (cos (/ 1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log U) (log (* 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 (* 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 (* 2 (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log U) (log (* 2 (cos (/ 1/2 K))))) (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 (- (+ (* (/ 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 U)) (+ (* (* 2 (* U (cos (/ 1/2 K)))) (/ 0 (/ 1 U))) (* 0 (/ 0 (/ 1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* U (cos (/ 1/2 K)))))) into (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 1/4))) 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 (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* U (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* U (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* U (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 (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -2 (- (log (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -2 (- (log (* 2 (* U (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 (* 2 (* U (cos (/ 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* U (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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* -2 (- (+ (log (/ 1 U)) (log (* 2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 J))))) 1) 1/4) into (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in U * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in U * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in U * [misc]taylor: Taking taylor expansion of (* -1 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in U * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) -1) 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 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) into (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))) * [misc]backup-simplify: Simplify (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U))))) into (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) into (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1))) into (pow (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* -2 (+ (log (* 2 (/ (cos (/ -1/2 K)) J))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2))))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in K * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in K * [misc]taylor: Taking taylor expansion of (* -1 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in K * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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 (/ (* -2 (/ (cos (/ -1/2 K)) J)) (/ -1 U)) into (* 2 (/ (* U (cos (/ -1/2 K))) J)) * [misc]backup-simplify: Simplify (log (* 2 (/ (* U (cos (/ -1/2 K))) J))) into (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) into (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J)))) * [misc]backup-simplify: Simplify (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2)) into (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1) * [misc]backup-simplify: Simplify (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) into (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)) * [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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (/ (* U (cos (/ -1/2 K))) J)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (* U (cos (/ -1/2 K))) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log (* 2 (/ (* (cos (/ -1/2 K)) U) J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1))) into (pow (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (* 2 (/ (* (cos (/ -1/2 K)) U) J)) -2) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 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 (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) (* -1 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))))) in J * [misc]taylor: Taking taylor expansion of (* (* -1 2) (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))))) in J * [misc]taylor: Taking taylor expansion of (* -1 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 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U)))) in J * [misc]taylor: Taking taylor expansion of (/ (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- U))) 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 (/ 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]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))) (/ -1 U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log 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) 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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (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 (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 (* (cos (/ -1/2 K)) U)) into (* 2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (* 2 (* (cos (/ -1/2 K)) U))) into (log (* 2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (* (cos (/ -1/2 K)) U))) (- (log J))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) into (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) into (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))) into (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1/4) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (* 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 (* (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 (* 2 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 (+ (* 2 (cos (/ -1/2 K))) (* 0 0)) 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 (+ (* (- -1) (log U)) (log (* 2 (cos (/ -1/2 K))))) into (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (- (log J))) into (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)) * [misc]backup-simplify: Simplify (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) into (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) into (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) into (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1))) into (* 1/4 (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)))) into (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) 1/4) into (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) 1/4) * [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 U)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) U))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 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 0 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 (+ (* 2 0) (+ (* 0 (cos (/ -1/2 K))) (* 0 0))) 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 0) (* 0 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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 (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 K)))) (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) 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) 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 (- (/ 0 (/ -1 U)) (+ (* (* 2 (* (cos (/ -1/2 K)) U)) (/ 0 (/ -1 U))) (* 0 (/ 0 (/ -1 U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (* (cos (/ -1/2 K)) U)))) into (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) U)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* -2 (- (log (* 2 (* (cos (/ -1/2 K)) U))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- U)))) (log (/ 1 (- J)))))) 1) 1/4) into (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (fabs (cbrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1))) (sqrt (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* 1 (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (/ (sqrt (+ 1 (pow (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))) (* 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2) (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (/ (sqrt (- 1 (* (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2) (pow (* (* J (/ 2 U)) (cos (/ K 2))) -2)))) (sqrt (- 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (fabs (sqrt (+ (pow (* (/ (* J 2) U) (cos (/ K 2))) -2) 1))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (* (fabs (cbrt (+ 1 (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2)))) (sqrt (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (* (sqrt (sqrt (+ 1 (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2)))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (* 1 (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (/ (sqrt (+ 1 (pow (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2) 3))) (sqrt (+ (* (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2)) (- (* 1 1) (* (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2)) (* 1 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2) (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2)) -1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (/ (sqrt (+ (* (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2) (pow (* (cos (/ K 2)) (/ J (/ U 2))) -2)) -1)) (sqrt (- (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (fabs (sqrt (+ 1 (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -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 (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) (cbrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ 1 (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* (fabs (cbrt (sqrt (+ 1 (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2))))) (sqrt (cbrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))))) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)) (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ 1 (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* (sqrt (fabs (cbrt (+ 1 (pow (* (cos (/ K 2)) (/ 2 (/ U J))) -2))))) (sqrt (sqrt (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))))) * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ 1 (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* (sqrt (sqrt (sqrt (+ 1 (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2))))) (sqrt (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))))) * * * * [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 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* 1 (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ 1 (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* (sqrt (sqrt (sqrt (+ 1 (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2))))) (sqrt (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))))) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* 1 (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (/ (sqrt (sqrt (+ 1 (pow (pow (/ (cos (/ K 2)) (/ (/ U 2) J)) -2) 3)))) (sqrt (sqrt (+ (* (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2)) (- (* 1 1) (* (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))))) * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2)) (* 1 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2) (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2)) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (/ (sqrt (sqrt (- (* (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2) (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2)) 1))) (sqrt (sqrt (- (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))))) * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (fabs (sqrt (sqrt (+ 1 (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2))))))) * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (* (/ J (/ U 2)) (cos (/ K 2))) -2)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (fabs (sqrt (sqrt (+ 1 (pow (* (/ J (/ U 2)) (cos (/ K 2))) -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 (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) (cbrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (fabs (cbrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) (sqrt (cbrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))) (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (fabs (cbrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1)))) (sqrt (sqrt (cbrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (sqrt (+ (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 1)))) (sqrt (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [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 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (sqrt (+ (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 1)))) (sqrt (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (sqrt (+ 1 (pow (pow (* (* (/ J U) 2) (cos (/ K 2))) -2) 3)))) (sqrt (sqrt (+ (* 1 1) (- (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))) (* 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* 1 1) (* (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)) (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* (pow (* (cos (/ K 2)) (* (/ 2 U) J)) -2) (pow (* (cos (/ K 2)) (* (/ 2 U) J)) -2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (sqrt (- 1 (* (pow (* (cos (/ K 2)) (* (/ 2 U) J)) -2) (pow (* (cos (/ K 2)) (* (/ 2 U) J)) -2))))) (sqrt (sqrt (- 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/8 (* (sqrt (/ 1 (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) (sqrt (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) (* (* 1/32 (pow J -2)) (* (pow U 2) (* K K)))) (sqrt (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (sqrt (/ 1 (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) (* (* 1/32 (pow J -2)) (* (pow U 2) (* K K)))) (sqrt (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (exp -2) (+ (log (cos (* 1/2 K))) (- (+ (log J) (log 2)) (log U)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (exp -2) (+ (log (cos (* 1/2 K))) (- (+ (log J) (log 2)) (log U)))))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2)))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt 1))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/2 U) J) (cos (* 1/2 K))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (sqrt (/ (/ (* 1/2 U) J) (cos (* 1/2 K)))))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) 1)) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (exp (+ (+ (+ (* (log U) 1/2) (* (log J) -1/2)) (* 1/4 (log 1/4))) (* -1/2 (log (cos (* K 1/2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (exp (+ (+ (+ (* (log U) 1/2) (* (log J) -1/2)) (* 1/4 (log 1/4))) (* -1/2 (log (cos (* K 1/2)))))))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))) 1/4) (pow (exp 1/2) (- (log (/ -1 J)) (log (/ -1 U))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ (* (* 2 J) (cos (/ K 2))) U) (* -1 2)))))) (* (pow (/ (/ 1/4 (cos (* K 1/2))) (cos (* K 1/2))) 1/4) (pow (exp 1/2) (- (log (/ -1 J)) (log (/ -1 U))))))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/16 (* (pow (/ 1 (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 3)) 1/4) (* (pow K 2) (exp (* -2 (- (+ (log J) (log 2)) (log U))))))) (pow (+ (exp (* -2 (- (+ (log J) (log 2)) (log U)))) 1) 1/4)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (+ (pow (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1) 1/4) (* (pow (/ (/ 1 (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1)) (* (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1) (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) 1/4) (* (* (* 1/16 1/4) (pow J -2)) (* (pow U 2) (* K K))))) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (+ (pow (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1) 1/4) (* (pow (/ (/ 1 (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1)) (* (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1) (+ (/ (* (pow J -2) 1/4) (pow U -2)) 1))) 1/4) (* (* (* 1/16 1/4) (pow J -2)) (* (pow U 2) (* K K)))))) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ 1 U))) (log (/ 1 J))))) 1) 1/4) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (pow (+ 1 (pow (exp -2) (+ (+ (log J) (- (log 2) (log U))) (log (cos (* 1/2 K)))))) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (pow (exp -2) (+ (+ (log J) (- (log 2) (log U))) (log (cos (* 1/2 K)))))) 1/4)) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* -2 (- (+ (log (* 2 (cos (* 1/2 K)))) (log (/ -1 U))) (log (/ -1 J))))) 1) 1/4) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (pow (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2))) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (* (pow (exp -2) (- (log (/ -1 U)) (log (/ -1 J)))) (pow (* (cos (* 1/2 K)) 2) -2))) 1/4)) (sqrt (sqrt (+ (pow (/ (cos (/ K 2)) (/ U (* J 2))) -2) 1))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 6 branch expressions: (U K (/ K 2) (cos (/ K 2)) J (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]regimes: Trying to branch on U from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on K from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ K 2) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (cos (/ K 2)) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on J from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (# # #) * * * [misc]regime: Found split indices: #