* [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 (72 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* 0 -2) 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 (+ (* 0 0) (* 1 -2)) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (+ (* 0 0) (+ (* 1 0) (* 0 -2))) 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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 J) -2) (cos (/ (/ 1 K) 2))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* 1 -2) 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 (+ (* 1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (- (+ (* (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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 (/ 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]backup-simplify: Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))) 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 U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) in U * [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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 (/ 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (- (+ (* (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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]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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) 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 (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -2) 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 (+ (* -1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (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 (+ (* (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 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: [ 2 / 4 ] generating series at (2 2 2) * [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 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) 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 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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 (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (+ 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) 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 (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 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 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) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (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 (+ 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 (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (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 (+ 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K * [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]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 (* (* J -2) (cos (/ K 2))) in J * [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]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 (* (* J -2) (cos (/ K 2))) in J * [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]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 (* 0 -2) 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 (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) 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 (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K * [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]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 J) -2) (cos (/ (/ 1 K) 2))) in J * [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]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 J) -2) (cos (/ (/ 1 K) 2))) in J * [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]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 (* 1 -2) 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 (+ (* 1 0) (* 0 -2)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K * [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]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 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [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]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 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [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]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 (* -1 -2) 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 (+ (* -1 0) (* 0 -2)) 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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (exp (* 2 (log (cos (* 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) 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 (cos (* 1/2 K))) 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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [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 (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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 (/ (pow 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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 (* J (cos (* 1/2 K))))) * [misc]approximate: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 (- 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 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 (- 0) into 0 * [misc]backup-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 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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 (* J (cos (* 1/2 K))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (expm1 (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (expm1 (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (log1p (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (log1p (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (log (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (log (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (log (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3))) * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [enter]simplify: Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))) * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ U 2) J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (- (log (/ U (* J 2))) (log (cos (/ K 2)))) * [exit]simplify: Simplified to (- (log (/ U (* J 2))) (log (cos (/ K 2)))) * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (log (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ U 2) J) (/ (/ U 2) J)) (/ (/ U 2) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (cbrt (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (- U) (* J 2)) * [exit]simplify: Simplified to (/ (- U) (* J 2)) * [enter]simplify: Simplifying (- (cos (/ K 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (- (cos (/ K 2))) * [exit]simplify: Simplified to (- (cos (/ K 2))) * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) (cbrt (/ U (* J 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ U (* J 2))) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (* (cbrt (/ U (* J 2))) (cbrt (/ U (* J 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cos (/ K 2))) * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ U (* J 2))) * [exit]simplify: Simplified to (sqrt (/ U (* J 2))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cos (/ K 2))) * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ (/ U 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 J) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 J) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ U 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ U 2) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 J) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ U 2) * [exit]simplify: Simplified to (/ U 2) * [enter]simplify: Simplifying (/ (/ 1 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ 1 J) (cos (/ K 2))) * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (cos (/ K 2))) * [exit]simplify: Simplified to (/ 1 (cos (/ K 2))) * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ U (* J 2)) * [exit]simplify: Simplified to (/ U (* J 2)) * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U 2) J))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U 2) J))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ 1 J)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) J) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log1p (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* -2 J) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* -2 J) (cos (/ K 2))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* J -2)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (cos (/ K 2))) (log (* -2 J))) * [exit]simplify: Simplified to (+ (log (cos (/ K 2))) (log (* -2 J))) * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (log (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* J -2) (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 (pow (exp (* -2 J)) (cos (/ K 2))) * [exit]simplify: Simplified to (pow (exp (* -2 J)) (cos (/ K 2))) * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))) * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* J -2) (cos (/ K 2)))) (cbrt (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (pow (* (* -2 J) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (* (* -2 J) (cos (/ K 2))) 3) * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* -2 J)) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* -2 J)) * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (/ K 2))) (* -2 J)) * [exit]simplify: Simplified to (* (sqrt (cos (/ K 2))) (* -2 J)) * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* -2 J) * [exit]simplify: Simplified to (* -2 J) * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* -2 (cos (/ K 2))) * [exit]simplify: Simplified to (* -2 (cos (/ K 2))) * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (fma (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))) 1) * [exit]simplify: Simplified to (fma (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))) 1) * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [enter]simplify: Simplifying (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 83 / 93 ] 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]progress: [ 84 / 93 ] 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]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (* (fma (/ 1/16 J) (* K K) (/ 1/2 J)) U))) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K))))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (/ J 1/2)) (cos (* 1/2 K))))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (* K 1/2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (* K 1/2))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (* 1/2 K)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (/ U (cos (* 1/2 K))) (* (cos (/ K 2)) (* (* -2 J) (/ 1/2 J)))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (* 1/2 (/ U (* J (cos (* 1/2 K)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (/ U (cos (* 1/2 K))) (* (cos (/ K 2)) (* (* -2 J) (/ 1/2 J)))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in U * [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]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in K * [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]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in J * [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]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in J * [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]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* 0 -2) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/2 U) * [misc]backup-simplify: Simplify (* 0 (* 1/2 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 (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (* 1/2 U))) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into (/ (pow (cos (* 1/2 K)) 2) U) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* -2 0) (* 0 (* 1/2 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]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 (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (* (/ 1 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 J) -2) (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) 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]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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -2)) 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]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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) * [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 (/ 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]backup-simplify: Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))) 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 U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) in U * [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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 (/ 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (- (+ (* (/ 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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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]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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) 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 (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (- J)) -2) (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [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]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) 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]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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) 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]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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) * [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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (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 (+ (* (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 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: [ 2 / 4 ] generating series at (2 2 2 2) * [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 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) 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 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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 (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (+ 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) 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 (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 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 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) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (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 (+ 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 (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (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 (+ 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [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]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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]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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 1/16 (/ U J)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) 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 (+ 0 (* 1/16 (/ (pow U 2) (pow J 2)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (+ (* 0 0) (* (- 1/8) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 (* 1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U * [misc]taylor: Taking taylor expansion of 1/8 in U * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [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 (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [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 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 (+ 0 (/ 1/4 (pow J 2))) 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]backup-simplify: Simplify (/ 1/8 1) into 1/8 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) 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 (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* (* 1/16 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) 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 (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* (* 1/16 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) 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 (+ (* 1 0) (+ (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (+ (* (- 1/8) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 1) 1)))) 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 -1/8 into -1/8 * [misc]backup-simplify: Simplify 0 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 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 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 1/384 1)) (* 0 (/ 0 1)) (* (* 1/16 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 5/768 (/ U J)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 1/384 1)) (* 0 (/ 0 1)) (* (* 1/16 (/ U J)) (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 5/768 (/ U J)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ U J)) (* 5/768 (/ U J))) (+ (* 0 0) (+ (* (* 1/16 (/ U J)) (* 1/16 (/ U J))) (+ (* 0 0) (* (* 5/768 (/ U J)) (* 1/2 (/ U J))))))) into (* 1/96 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/96 (/ (pow U 2) (pow J 2)))) into (* 1/96 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (/ (- (* 1/96 (/ (pow U 2) (pow J 2))) (pow (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* 1/96 (/ (pow U 2) (pow J 2))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* 1/96 (/ (pow U 2) (pow J 2))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (+ (* 0 0) (+ (* (- 1/8) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (+ (* 0 0) (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) into (- (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))))) (+ (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))))) (+ (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U * [misc]taylor: Taking taylor expansion of 1/384 in U * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [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 (* 1/192 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2)))) in U * [misc]taylor: Taking taylor expansion of 1/192 in U * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (/ (pow U 2) (pow J 2))) in U * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ (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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/2048 (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4)))) in U * [misc]taylor: Taking taylor expansion of 1/2048 in U * [misc]backup-simplify: Simplify 1/2048 into 1/2048 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) (/ (pow U 4) (pow J 4))) in U * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3)) in U * [misc]taylor: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) in U * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U * [misc]taylor: Taking taylor expansion of 3 in U * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 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 (+ (* 3 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 (+ 0 (/ 1/4 (pow J 2))) 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 (+ (* 3 (/ 1/4 (pow J 2))) (+ (* 0 0) (* 0 0))) into (* 3/4 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow U 4) (pow J 4)) in U * [misc]taylor: Taking taylor expansion of (pow U 4) in U * [misc]taylor: Taking taylor expansion of (pow J 4) in U * [misc]taylor: Taking taylor expansion of (exp (* 4 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 4 (log J)) in U * [misc]taylor: Taking taylor expansion of 4 in U * [misc]backup-simplify: Simplify 4 into 4 * [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 (* 4 (log J)) into (* 4 (log J)) * [misc]backup-simplify: Simplify (exp (* 4 (log J))) into (pow J 4) * [misc]backup-simplify: Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4)) * [misc]taylor: Taking taylor expansion of (* 1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) in U * [misc]taylor: Taking taylor expansion of 1/256 in U * [misc]backup-simplify: Simplify 1/256 into 1/256 * [misc]taylor: Taking taylor expansion of (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (* 1/4 (/ (pow U 2) (pow J 2)))))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 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 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 (pow J 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [misc]backup-simplify: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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]backup-simplify: Simplify (* 1/384 1) into 1/384 * [misc]backup-simplify: Simplify (+ 1/384 0) into 1/384 * [misc]backup-simplify: Simplify (+ 1/384 0) into 1/384 * [misc]taylor: Taking taylor expansion of 1/384 in J * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (pow J 2)) 1) into (/ 1 (pow J 2)) * [misc]backup-simplify: Simplify (* 1/32 (/ 1 (pow J 2))) into (/ 1/32 (pow J 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (pow J 2))) 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]backup-simplify: Simplify (+ (* 1/8 (/ 1/8 (pow J 2))) (+ (* 0 0) (* 0 1))) into (* 1/64 (/ 1 (pow J 2))) * [misc]backup-simplify: Simplify (- (* 1/64 (/ 1 (pow J 2)))) into (- (* 1/64 (/ 1 (pow J 2)))) * [misc]backup-simplify: Simplify (+ (/ 1/32 (pow J 2)) (- (* 1/64 (/ 1 (pow J 2))))) into (* 1/64 (/ 1 (pow J 2))) * [misc]taylor: Taking taylor expansion of (* 1/64 (/ 1 (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/64 in J * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]taylor: Taking taylor expansion of (/ 1 (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/64 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (* 1 (* 1 K)) 2)) 1) into (- 1 (* 1/8 (pow K 2))) * [misc]approximate: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (cos (/ (/ 1 K) 2)) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (cos (/ 1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 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 (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [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 (pow (cos (/ 1/2 K)) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 (cos (/ 1/2 K))))) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (* 1/2 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 J in J * [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]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (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]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 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 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 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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)) (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into (/ (pow (cos (/ 1/2 K)) 2) J) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) J) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) 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 (cos (/ 1/2 K))) 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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 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 2) (+ (* (/ 1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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 (* (/ 1 J) (* (/ 1 (/ 1 U)) 1))) into (* 1/2 (/ U J)) * [misc]approximate: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (K U J) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) in U * [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 (exp (* 2 (log J))) in U * [misc]taylor: Taking taylor expansion of (* 2 (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 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 (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (exp (* 2 (log J))) into (pow J 2) * [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 (exp (* 2 (log (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [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]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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 (cos (/ -1/2 K))))) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (* 1/2 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 J in J * [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]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 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 (+ (* (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 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 2) (+ (* (/ -1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (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 (- 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 2) (+ (* (/ -1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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)) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) J) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) J) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) 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 (cos (/ -1/2 K))) 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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 2) (+ (* (/ -1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 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 2) (+ (* (/ -1/2 U) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 (* (/ 1 (- J)) (* (/ 1 (/ 1 (- U))) 1))) into (* 1/2 (/ U J)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (exp (* 2 (log (cos (* 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) 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 (cos (* 1/2 K))) 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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [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 (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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 (/ (pow 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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 (* J (cos (* 1/2 K))))) * [misc]approximate: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 (- 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 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 (- 0) into 0 * [misc]backup-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 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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 (* J (cos (* 1/2 K))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* J -2)) (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* J -2)) (log (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [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 (87 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))))) * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (* (pow (* -2 J) 3) (pow (cos (/ K 2)) 3)) (pow (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) 3)) * [exit]simplify: Simplified to (* (* (pow (* -2 J) 3) (pow (cos (/ K 2)) 3)) (pow (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) 3)) * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [enter]simplify: Simplifying (cbrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3) * [exit]simplify: Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) 3) * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* -2 J) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* -2 J) (cos (/ K 2))) * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* -2 (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* -2 (cos (/ K 2)))) * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ U 2) J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (- (log (/ U (* J 2))) (log (cos (/ K 2)))) * [exit]simplify: Simplified to (- (log (/ U (* J 2))) (log (cos (/ K 2)))) * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (log (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ U 2) J) (/ (/ U 2) J)) (/ (/ U 2) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (cbrt (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (- U) (* J 2)) * [exit]simplify: Simplified to (/ (- U) (* J 2)) * [enter]simplify: Simplifying (- (cos (/ K 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (- (cos (/ K 2))) * [exit]simplify: Simplified to (- (cos (/ K 2))) * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) (cbrt (/ U (* J 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ U (* J 2))) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (* (cbrt (/ U (* J 2))) (cbrt (/ U (* J 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cos (/ K 2))) * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ U (* J 2))) * [exit]simplify: Simplified to (sqrt (/ U (* J 2))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cos (/ K 2))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ (/ U 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 J) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 J) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ U 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ U 2) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 J) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ U 2) * [exit]simplify: Simplified to (/ U 2) * [enter]simplify: Simplifying (/ (/ 1 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ 1 J) (cos (/ K 2))) * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (cos (/ K 2))) * [exit]simplify: Simplified to (/ 1 (cos (/ K 2))) * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ U (* J 2)) * [exit]simplify: Simplified to (/ U (* J 2)) * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U 2) J))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U 2) J))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ 1 J)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) J) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (expm1 (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log1p (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (log (cos (/ K 2))) (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2)))) * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (exp (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (pow (exp (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (cos (/ K 2))) 3) * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2)))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2))) 3) * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cos (/ K 2)))) * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 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 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cos (/ K 2))) * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [exit]simplify: Simplified to (cos (/ K 2)) * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (cos (/ K 2))) * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (expm1 (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (log1p (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (fma (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))) 1) * [exit]simplify: Simplified to (fma (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))) 1) * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [enter]simplify: Simplifying (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 83 / 93 ] 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]progress: [ 84 / 93 ] 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]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (* U (fma (/ K J) (* 1/16 K) (/ 1/2 J))))) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (- 1 (* 1/8 (pow K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (fma (* -2 J) (* (- K) (* K 1/8)) (* -2 J)) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* 1/2 (/ U J))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* -2 (* 1/2 U)) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* 1/2 (/ U J))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* -2 (* 1/2 U)) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (* 1/2 K))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (* (/ (* (/ U J) J) (cos (* K 1/2))) (* (cos (/ K 2)) (* 1/2 -2))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cos (/ K 2)) (* 1/2 (/ U (* J (cos (* 1/2 K))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (* (/ (* (/ U J) J) (cos (* K 1/2))) (* (cos (/ K 2)) (* 1/2 -2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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]backup-simplify: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]taylor: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (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 (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 (exp (* 2 (log (cos (* 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) 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 (cos (* 1/2 K))) 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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (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 (+ (* 1/2 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) 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)) (+ (* (/ 1/16 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (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 (/ (pow 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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)) (+ (* (/ 1/16 (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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 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 (* +nan.0 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 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 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) 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 (cos (/ 1/2 K))) 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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (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 (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of +nan.0 in K * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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]backup-simplify: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in 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]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J * [misc]taylor: Taking taylor expansion of (pow J 3) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) 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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1/2 K)))) into (* 3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 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 (* +nan.0 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 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 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) 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 (cos (/ -1/2 K))) 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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (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 (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of +nan.0 in K * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) * [misc]taylor: Taking 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 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 (- 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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]backup-simplify: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in 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]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J * [misc]taylor: Taking taylor expansion of (pow J 3) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) 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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1/2 K)))) into (* 3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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]backup-simplify: Simplify (/ (- (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]taylor: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (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 (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 (exp (* 2 (log (cos (* 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) 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 (cos (* 1/2 K))) 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 (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (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 (+ (* 1/2 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) 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)) (+ (* (/ 1/16 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/16 (* (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 (/ (pow 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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)) (+ (* (/ 1/16 (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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 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 (* +nan.0 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 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 (pow (* +nan.0 (/ J (cos (/ 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) 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 (cos (/ 1/2 K))) 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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (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 (* +nan.0 (/ 1 (cos (/ 1/2 K)))) into (/ +nan.0 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of +nan.0 in K * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ +nan.0 (cos (/ 1/2 K))) into (/ +nan.0 (cos (/ 1/2 K))) * [misc]taylor: Taking 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 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) 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]backup-simplify: Simplify (/ (- (/ (cos (/ 1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ 1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ (cos (/ 1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) in 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]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)) in J * [misc]taylor: Taking taylor expansion of (pow J 3) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) 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 (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1/2 K)))) into (* 3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 3)) into (/ 1 (pow (cos (/ 1/2 K)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ +nan.0 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 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 (* +nan.0 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 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 (pow (* +nan.0 (/ J (cos (/ -1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) 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 (cos (/ -1/2 K))) 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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (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 (* +nan.0 (/ 1 (cos (/ -1/2 K)))) into (/ +nan.0 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (/ +nan.0 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of +nan.0 in K * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ +nan.0 (cos (/ -1/2 K))) into (/ +nan.0 (cos (/ -1/2 K))) * [misc]taylor: Taking 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 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 (- 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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]backup-simplify: Simplify (/ (- (/ (cos (/ -1/2 K)) J) (+ (* 2 (* (* +nan.0 (/ J (cos (/ -1/2 K)))) (* +nan.0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 0)) into (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (/ (cos (/ -1/2 K)) J) (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) in 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]taylor: Taking taylor expansion of (* +nan.0 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))) in J * [misc]taylor: Taking taylor expansion of +nan.0 in J * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)) in J * [misc]taylor: Taking taylor expansion of (pow J 3) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) 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 (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1/2 K)))) into (* 3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 3) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 3)) into (/ 1 (pow (cos (/ -1/2 K)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (+ (* +nan.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 (+ (* (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 (+ (* +nan.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]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ +nan.0 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) 1))) into (/ +nan.0 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (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 (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J * [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]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 (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (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]backup-simplify: Simplify (* 0 -2) 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 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 (+ (* (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 -2)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (/ U (cos (* 1/2 K))))) (* (- (* 2 (cos (* 1/2 K)))) 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]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 (pow (* +nan.0 (/ U (cos (* 1/2 K)))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (+ (* (- (* 2 (cos (* 1/2 K)))) (* +nan.0 (/ U (cos (* 1/2 K))))) (* 0 0))) into (- (* +nan.0 U)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 U)) in K * [misc]taylor: Taking taylor expansion of (* +nan.0 U) in K * [misc]taylor: Taking taylor expansion of +nan.0 in K * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* +nan.0 U) into (* +nan.0 U) * [misc]backup-simplify: Simplify (- (* +nan.0 U)) into (- (* +nan.0 U)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 U)) in U * [misc]taylor: Taking taylor expansion of (* +nan.0 U) in U * [misc]taylor: Taking taylor expansion of +nan.0 in U * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (* (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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]backup-simplify: Simplify (* 1 -2) 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 (+ (* 1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (/ (- (/ 1/8 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (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 (- (+ (* (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 -2))) 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))) (/ 1/16 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (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 (/ 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2)))) into (/ 1/8 (* (cos (/ 1/2 K)) (pow U 2))) * [misc]backup-simplify: Simplify (- (/ 1/8 (* (cos (/ 1/2 K)) (pow U 2)))) into (- (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (/ 1/2 K)) (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 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) in U * [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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 (/ 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (+ (* 2 (* 0 (/ 1/16 (* (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 (- (+ (* (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ 1/16 (* (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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/8 0) (* 0 (/ 1 (* (cos (/ 1/2 K)) (pow U 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 (+ (* -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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* 1/8 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 (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (* (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [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]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 (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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]backup-simplify: Simplify (* -1 -2) 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 (+ (* -1 0) (* 0 -2)) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (/ (- (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1/16 (* (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 (+ (* -1 0) (+ (* 0 0) (* 0 -2))) 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))) (/ 1/16 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (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 (/ 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/8 (* (cos (/ -1/2 K)) (pow U 2))) * [misc]taylor: Taking taylor expansion of (/ 1/8 (* (cos (/ -1/2 K)) (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 (* (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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 (/ 1/8 (cos (/ -1/2 K))) into (/ 1/8 (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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/8 (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (+ (* 2 (* 0 (/ 1/16 (* (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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) 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 (/ 1/16 (* (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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* 1/8 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 (/ (pow 0 2) 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))) (+ (* (/ 1/8 (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: [ 4 / 4 ] generating series at (2 2 1 2) * [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 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) 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 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))))) 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 (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (+ 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 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) 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 (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 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 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) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (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 (+ 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 (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (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 (+ 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 (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 2 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 3 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 6 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 7 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [enter]simplify: Simplifying (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 8 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * * * [misc]progress: [ 9 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 10 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 11 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 12 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 13 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 16 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 17 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 20 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 21 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [enter]simplify: Simplifying (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 22 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * * * [misc]progress: [ 23 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 24 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 25 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 26 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 27 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 30 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 31 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 32 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 33 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* -2 J))) (log (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))))) * * * * [misc]progress: [ 35 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* J -2) (cos (/ K 2)))) (log (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (+ (log (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (log (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 36 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * * * * [misc]progress: [ 37 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 38 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))))) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))))) * * * * [misc]progress: [ 39 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (* (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3)) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 40 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * [exit]simplify: Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * [enter]simplify: Simplifying (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 41 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3))) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (pow (* (* -2 J) (cos (/ K 2))) 3))) * * * * [misc]progress: [ 42 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 43 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (* (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (* -2 (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* J (cos (/ K 2))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * [exit]simplify: Simplified to (* (* -2 (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* J (cos (/ K 2))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 45 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (fabs (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 46 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 47 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (* -2 J)) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* (sqrt 1) (* -2 J)) (cos (/ K 2))) * * * * [misc]progress: [ 48 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 49 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* J -2) (cos (/ K 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 50 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cos (/ K 2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 51 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 53 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 54 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ U 2) J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (- (log (/ U (* J 2))) (log (cos (/ K 2)))) * [exit]simplify: Simplified to (- (log (/ U (* J 2))) (log (cos (/ K 2)))) * * * * [misc]progress: [ 56 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (log (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 57 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 58 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ U 2) J) (/ (/ U 2) J)) (/ (/ U 2) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 59 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) (cbrt (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 60 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 61 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 2) J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ U J) 2) (cos (/ K 2)))) * * * * [misc]progress: [ 62 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (- U) (* J 2)) * [exit]simplify: Simplified to (/ (- U) (* J 2)) * [enter]simplify: Simplifying (- (cos (/ K 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (- (cos (/ K 2))) * [exit]simplify: Simplified to (- (cos (/ K 2))) * * * * [misc]progress: [ 63 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 64 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) (cbrt (/ U (* J 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 65 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U 2) J)) (cbrt (/ (/ U 2) J))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ U (* J 2))) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (* (cbrt (/ U (* J 2))) (cbrt (/ U (* J 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ U 2) J)) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (cbrt (/ U (* J 2))) (cos (/ K 2))) * * * * [misc]progress: [ 66 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 67 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 68 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ U (* J 2))) * [exit]simplify: Simplified to (sqrt (/ U (* J 2))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ U 2) J)) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (sqrt (/ U (* J 2))) (cos (/ K 2))) * * * * [misc]progress: [ 69 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 70 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 71 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (cos (/ K 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * * * * [misc]progress: [ 72 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ (/ U 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U 2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 J) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 J) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 73 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ U 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ U 2) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 J) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 74 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ U 2) * [exit]simplify: Simplified to (/ U 2) * [enter]simplify: Simplifying (/ (/ 1 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 J) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ 1 J) (cos (/ K 2))) * * * * [misc]progress: [ 75 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (cos (/ K 2))) * [exit]simplify: Simplified to (/ 1 (cos (/ K 2))) * * * * [misc]progress: [ 77 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * * * * [misc]progress: [ 78 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * * * [misc]progress: [ 79 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ (/ U J) 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 80 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U 2) J) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ U (* J 2)) * [exit]simplify: Simplified to (/ U (* J 2)) * * * * [misc]progress: [ 81 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U 2) J))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * * * * [misc]progress: [ 82 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U 2) J))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * * * * [misc]progress: [ 83 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U 2) J)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (/ U (* J 2))) * * * * [misc]progress: [ 84 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ 1 J)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * * * * [misc]progress: [ 85 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) J) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * [exit]simplify: Simplified to (* (cos (/ K 2)) J) * * * * [misc]progress: [ 86 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 87 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (/ +nan.0 (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 88 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (/ +nan.0 (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 89 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) 1) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 90 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (/ +nan.0 (* (cos (* 1/2 K)) J))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 91 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (/ +nan.0 (* (cos (* 1/2 K)) J))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 92 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 93 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (* K 1/2)) (* J -2))) * * * * [misc]progress: [ 94 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (cos (* K 1/2)) (* J -2))) * * * * [misc]progress: [ 95 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (fma (/ (* U 1/16) J) (* K K) (* 1/2 (/ U J)))))) * * * * [misc]progress: [ 96 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (* J (sqrt (hypot 1 (/ (/ 1/2 (/ J U)) (cos (* K 1/2)))))) (* (* (cos (/ K 2)) -2) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * * * * [misc]progress: [ 97 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (* J (sqrt (hypot 1 (/ (/ 1/2 (/ J U)) (cos (* K 1/2)))))) (* (* (cos (/ K 2)) -2) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in U * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) 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 2) J) in U * [misc]taylor: Taking taylor expansion of (/ 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 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1/2 J) into (/ 1/2 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in K * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in K * [misc]taylor: Taking taylor expansion of (/ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ (* 1/2 U) J) into (* 1/2 (/ U 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 (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (* 1 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 (* 1/4 (/ (pow U 2) (pow J 2)))) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (* 1/2 (/ U J)) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (/ U J)) (/ 0 1)))) 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 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) in J * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U 2) J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ U 2) J) in J * [misc]taylor: Taking taylor expansion of (/ U 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 U) 1) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 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]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 (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (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 (* 0 -2) into 0 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 1/3) (pow (cos (* 1/2 K)) 1/3)) into (pow (pow (cos (* 1/2 K)) 2) 1/3) * [misc]backup-simplify: Simplify (* 0 (pow (pow (cos (* 1/2 K)) 2) 1/3)) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (cos (* 1/2 K)) 1/3)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (* 0 (pow (cos (* 1/2 K)) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) into (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) (pow (cos (* 1/2 K)) 1/3))) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 U) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 U) (/ 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 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 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))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (pow (pow (cos (* 1/2 K)) 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (* 2 (pow (pow (cos (* 1/2 K)) 2) 1/3))) 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) 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 (* (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in U * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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) 2) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 J)) into (* 1/2 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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) 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 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 J) (/ 0 (/ 1 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 (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 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))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) 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 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in K * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (/ 1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (* 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (/ 0 (cos (/ 1/2 K)))))) 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 (* (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) in J * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) 2) (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) 2) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1/2 U) 1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* 1 -2) into -2 * [misc]backup-simplify: Simplify (* (pow (cos (/ 1/2 K)) 1/3) (pow (cos (/ 1/2 K)) 1/3)) into (pow (pow (cos (/ 1/2 K)) 2) 1/3) * [misc]backup-simplify: Simplify (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) into (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) (pow (cos (/ 1/2 K)) 1/3)) 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 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) 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 (/ 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]backup-simplify: Simplify (- (/ 1/4 (* (cos (/ 1/2 K)) (pow U 2)))) 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 U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (cos (/ 1/2 K)) (pow U 2))) in U * [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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 (/ 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 U) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1/2 U) (/ 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 (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (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 (- (+ (* (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ 1/2 K)) 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (pow (pow (cos (/ 1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))))) 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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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]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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) 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 (* (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in U * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1 1) 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 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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)) 2) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 J)) into (* 1/2 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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 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 2) (+ (* -1/2 (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 J) (/ 0 (/ -1 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) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) 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 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1 1) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) 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 K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1/2 U) (/ -1 J)) into (* 1/2 (/ J U)) * [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 (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (* 1 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 (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 (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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 (- (/ 0 (/ -1 J)) (+ (* (* 1/2 (/ J U)) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (/ 0 (cos (/ -1/2 K)))))) 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 (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [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 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J * [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]taylor: Taking taylor expansion of (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1 1) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (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 J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) 2) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) 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 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 U) 2) into (/ -1/2 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1/2 U) -1) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* -1 -2) into 2 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 1/3) (pow (cos (/ -1/2 K)) 1/3)) into (pow (pow (cos (/ -1/2 K)) 2) 1/3) * [misc]backup-simplify: Simplify (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) into (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) * [misc]backup-simplify: Simplify (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) (pow (cos (/ -1/2 K)) 1/3)) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) 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 (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) 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 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) 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 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) 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 (exp (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]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 (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (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 (+ (* (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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 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 2) (+ (* (/ -1/2 U) (/ 0 2)))) 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) (+ (* (/ 1/2 U) (/ 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 (cos (/ -1/2 K))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (pow (cos (/ -1/2 K)) 2) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (pow (pow (cos (/ -1/2 K)) 2) 1/3)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))))) 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 (/ (+ (* 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 (* (exp (* 2 (log U))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 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: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ K 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 * [misc]backup-simplify: Simplify -1/1152 into -1/1152 * [misc]backup-simplify: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ K 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 * [misc]backup-simplify: Simplify -1/1152 into -1/1152 * [misc]backup-simplify: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ K 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/8)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/8)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/8)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 * [misc]backup-simplify: Simplify -1/1152 into -1/1152 * [misc]backup-simplify: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in (K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (expm1 (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (log1p (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (* J -2)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))))) * [exit]simplify: Simplified to (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2))))) (+ (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) (+ (log (* -2 J)) (log (cbrt (cos (/ K 2))))))) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (* J -2)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (+ (+ (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (+ (log (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) (+ (log (cbrt (cos (/ K 2)))) (log (* -2 J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (+ (log (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) -2)))) * [exit]simplify: Simplified to (+ (log (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (log (* (cbrt (cos (/ K 2))) -2)))) * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (+ (log (* (cos (/ K 2)) (* -2 J))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (log (* (cos (/ K 2)) (* -2 J))) (log (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (log (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (pow (pow (exp (* -2 J)) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (cos (/ K 2)) (cos (/ K 2)))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (pow (* -2 J) 3))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cos (/ K 2))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* -2 J)) (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (cos (/ K 2)) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (* (pow (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) 3) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))) * [exit]simplify: Simplified to (* (* (pow (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) 3) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J))))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [enter]simplify: Simplifying (cbrt (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (pow (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) 3) * [exit]simplify: Simplified to (pow (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) 3) * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cos (/ K 2)) (* -2 J)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* -2 J)) (* (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * * [misc]simplify: iters left: 1 (496 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cos (/ K 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [exit]simplify: Simplified to (cos (/ K 2)) * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cos (/ K 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [exit]simplify: Simplified to (cos (/ K 2)) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (log (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cos (/ K 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [exit]simplify: Simplified to (cos (/ K 2)) * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 67 / 77 ] 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]progress: [ 68 / 77 ] 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]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (/ K 2))) (* -2 J)) (cbrt (cos (/ K 2)))) (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (- 1 (fma (pow K 4) 1/1152 (* (* 1/24 K) K))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/3)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K))))) (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/3)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (* 1/2 K))))) (* (* -2 J) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) (* (- 1 (fma (pow K 4) 1/1152 (* 1/24 (* K K)))) (* (cbrt (cos (/ K 2))) -2))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (pow (cos (* 1/2 K)) 1/3))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* -2 J) (cbrt (cos (* 1/2 K))))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (pow (cos (* 1/2 K)) 1/3))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* -2 J) (cbrt (cos (* 1/2 K))))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* J (cbrt (cos (/ K 2))))) (* (* (cbrt (cos (/ K 2))) -2) (- 1 (fma 1/1152 (pow K 4) (* (* K K) 1/24))))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (pow (cos (* 1/2 K)) 1/3) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (* 1/2 K))) (* -2 J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* (pow (cos (* 1/2 K)) 1/3) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (* 1/2 K))) (* -2 J)) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # #) * [misc]regimes: searching between -3.316974161156937e+305 and -inf.0 on (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 3.504056994479861e+305 on (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -3.3169741611569367e+305 and -inf.0 on (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 3.504056994479861e+305 on (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -3.3169741611569355e+305 and -inf.0 on (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 3.504056994479862e+305 on (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 19 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -6.922251320370694e+101 and -inf.0 on (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 7.050020618942672e+101 on (cbrt (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -3.3169741611569367e+305 and -inf.0 on (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 3.504056994479861e+305 on (* (* (* J -2) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -3.316974161156936e+305 and -inf.0 on (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (expm1 (log1p (cbrt (cos (/ K 2)))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 3.504056994479861e+305 on (* (* (* (* J -2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (expm1 (log1p (cbrt (cos (/ K 2)))))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) -1.7816989523013192e+308) #s(sp 1 (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1.7818860351346418e+308) #s(sp 0 (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) -1.7816989523013192e+308) (* -2 (* 1/2 U)) (if (<= (* (* (* (* J -2) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1.7818860351346418e+308) (* (* J -2) (* (cos (/ K 2)) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* -2 (* 1/2 U)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * [exit]simplify: Simplified to (if (<= (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) -1.7816989523013192e+308) (* -2 (* 1/2 U)) (if (<= (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1.7818860351346418e+308) (* (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (cos (/ K 2))) (* -2 J)) (* -2 (* 1/2 U)))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs