* [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 (157 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(J K U) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))"}* * * * [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 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 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 (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (/ (pow U 2) J) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 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 U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 (/ 1 J)) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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 (+ (* (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 (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ -1/2 K))) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (* (cos (* 1/2 K)) J))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in (K J) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* J -2) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) 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 (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]taylor: Taking taylor expansion of (* 1/4 J) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 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) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 0) (+ (* (- 1/8) 0) (* 0 (* -2 J))))) 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 (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/8) 0) (+ (* 0 0) (* 1/384 (* -2 J)))))) into (- (* 1/192 J)) * [misc]taylor: Taking taylor expansion of (- (* 1/192 J)) in J * [misc]taylor: Taking taylor expansion of (* 1/192 J) in J * [misc]taylor: Taking taylor expansion of 1/192 in J * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/192 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 (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) * [misc]approximate: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in (K J) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 J) -2) in K * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ (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 (* -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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) 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 (+ (* (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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) 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 0 2) 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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in (K J) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- J)) -2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (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 (* 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) 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 (+ (* (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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) 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 0 2) 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 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (/ (/ U J) 2) in (U J) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 J) U)) into (* 1/2 (/ U J)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in (U J) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) into (* 1/2 (/ U J)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in (U J) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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))))) into (* 1/2 (/ U J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 2 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 3 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 4 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 5 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (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 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * * * * [misc]progress: [ 7 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (129 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (120 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 9 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (120 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -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]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 11 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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 (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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: [ 12 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 13 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (339 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 15 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * * * * [misc]progress: [ 17 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 18 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 19 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 20 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ U 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 (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ U 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 (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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ U J) 2)) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ U J) 2) (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 (233 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ U 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 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (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 (427 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (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 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 (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (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 (287 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 30 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 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 (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 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 (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ U J) 2)) * * [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) (* 2 J)) * [exit]simplify: Simplified to (/ (- U) (* 2 J)) * [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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (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 J) 2)) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (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 J) 2)) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 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 J) 2)) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) (* (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 J) 2)) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) (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 J) 2)) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) 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 J) 2)) (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 / 100 ] 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 J) 2) (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 / 100 ] 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 J) 2) (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 / 100 ] 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 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 (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) (* (cbrt (cos (/ K 2))) (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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 42 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ U J) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ U J) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 43 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ U J) * [exit]simplify: Simplified to (/ U J) * [enter]simplify: Simplifying (/ (/ 1 2) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ 1 2) (cos (/ K 2))) * * * * [misc]progress: [ 44 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 100 ] 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2)) * * [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)) (* (/ 2 U) J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * * * * [misc]progress: [ 47 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) (* (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 (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2))))) * * * * [misc]progress: [ 48 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U J) 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 (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * * * * [misc]progress: [ 51 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U J) 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 (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * * * * [misc]progress: [ 52 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2)) * * [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)) (* (/ 2 U) J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * * * * [misc]progress: [ 53 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * * * * [misc]progress: [ 54 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) 2) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * * * * [misc]progress: [ 55 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cos (/ K 2)) (* J -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 (21 enodes) * [exit]simplify: Simplified to (expm1 (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (expm1 (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 56 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cos (/ K 2)) (* J -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 (21 enodes) * [exit]simplify: Simplified to (log1p (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (log1p (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 57 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* J -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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (/ K 2))) (log (* J -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 (25 enodes) * [exit]simplify: Simplified to (+ (log (cos (/ K 2))) (log (* J -2))) * [exit]simplify: Simplified to (+ (log (cos (/ K 2))) (log (* J -2))) * * * * [misc]progress: [ 60 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos (/ K 2)) (* J -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 (45 enodes) * [exit]simplify: Simplified to (log (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 61 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos (/ K 2)) (* J -2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (exp (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (exp (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 62 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 63 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos (/ K 2)) (* J -2))) (cbrt (* (cos (/ K 2)) (* J -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 (* (cos (/ K 2)) (* J -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 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 64 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (204 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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos (/ K 2)) (* J -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 (21 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 (* (cos (/ K 2)) (* J -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 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 66 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 100 ] 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 (* J (cos (/ K 2))) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * * * * [misc]progress: [ 68 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ K 2))) (* J -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 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ K 2))) (* J -2)) * [exit]simplify: Simplified to (* (cbrt (cos (/ K 2))) (* J -2)) * * * * [misc]progress: [ 69 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos (/ K 2))) (* J -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 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (/ K 2))) (* J -2)) * [exit]simplify: Simplified to (* (sqrt (cos (/ K 2))) (* J -2)) * * * * [misc]progress: [ 70 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* J -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: [ 71 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ U J) 2)) * [exit]simplify: Simplified to (expm1 (/ (/ U J) 2)) * * * * [misc]progress: [ 73 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (/ (/ U J) 2)) * [exit]simplify: Simplified to (log1p (/ (/ U J) 2)) * * * * [misc]progress: [ 74 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (/ (/ U J) 2)) * [exit]simplify: Simplified to (log (/ (/ U J) 2)) * * * * [misc]progress: [ 76 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ U J))) * [exit]simplify: Simplified to (sqrt (exp (/ U J))) * * * * [misc]progress: [ 77 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 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 J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ U J) 2)) * [exit]simplify: Simplified to (cbrt (/ (/ U J) 2)) * * * * [misc]progress: [ 78 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (pow (/ (/ U J) 2) 3) * [exit]simplify: Simplified to (pow (/ (/ U J) 2) 3) * * * * [misc]progress: [ 79 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * [enter]simplify: Simplifying (sqrt (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * * * * [misc]progress: [ 80 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ U J)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- U) J) * [exit]simplify: Simplified to (/ (- U) J) * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 81 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 83 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ U J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (* 2 J) U) * [exit]simplify: Simplified to (/ (* 2 J) U) * * * * [misc]progress: [ 84 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (cbrt (/ U J))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (/ U J))) * [exit]simplify: Simplified to (/ 2 (cbrt (/ U J))) * * * * [misc]progress: [ 85 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (/ U J))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (/ U J))) * [exit]simplify: Simplified to (/ 2 (sqrt (/ U J))) * * * * [misc]progress: [ 86 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ U J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (* 2 J) U) * [exit]simplify: Simplified to (/ (* 2 J) U) * * * * [misc]progress: [ 87 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ 1 J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* 2 J) * [exit]simplify: Simplified to (* 2 J) * * * * [misc]progress: [ 88 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 J) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* J 2) * [exit]simplify: Simplified to (* J 2) * * * * [misc]progress: [ 89 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 90 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (* 1/2 K)) J)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (* K 1/2))) * * * * [misc]progress: [ 91 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (* 1/2 K)) J)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (* K 1/2))) * * * * [misc]progress: [ 92 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -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 (145 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (* (hypot 1 (fma (* (/ U J) 1/16) (* K K) (* (/ U J) 1/2))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 93 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) * * [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 (108 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))))) * * * * [misc]progress: [ 94 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))))) * * [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 (108 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (* (/ 1/2 J) U) (cos (* 1/2 K))))) * * * * [misc]progress: [ 95 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/4 (* (pow K 2) J)) (* 2 J)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (fma K (* K 1/4) (- 2)) J)) * * * * [misc]progress: [ 96 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U J) 2) (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 (109 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (* K 1/2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 97 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) J)) (hypot 1 (/ (/ (/ U J) 2) (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 (109 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (* K 1/2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 98 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (* 1/2 (/ U J)) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ 1/2 (/ J U)) (cos (/ K 2))))) * * * * [misc]progress: [ 99 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (* 1/2 (/ U J)) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ 1/2 (/ J U)) (cos (/ K 2))))) * * * * [misc]progress: [ 100 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (* 1/2 (/ U J)) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ 1/2 (/ J U)) (cos (/ K 2))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(J K U) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))"}* * * * [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 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (J U K) around 0 * [misc]taylor: Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) 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 K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (- (/ U (cos (* 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (/ U (cos (* 1/2 K))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (* 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ 0 1)) (* 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 (+ (* -1 (/ (pow 0 2) 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 1) (+ (* U (/ 0 1)) (* 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 (+ (* -1 (/ (pow 0 2) 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 (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* -2 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) 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 K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 K)))) into (- (/ 1 (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ 0 1)) (* 0 (/ 0 1)) (* 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 (* -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 (/ 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 1) (+ (* U (/ 0 1)) (* 0 (/ 0 1)) (* 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 (* -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 (/ 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 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (- (* 2 (/ (cos (* 1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ (cos (* 1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ (cos (* 1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (cos (* 1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (* 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (cos (* 1/2 K)) 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 (+ (* 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 (- (/ 0 1) (+ (* (cos (* 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 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 (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (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 K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* 1 (* U 1))) into (* -1 U) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (J U K) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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 (* -2 1) into -2 * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [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 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 -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 1/2 (* U (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U * [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 (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (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 (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 U) (/ 0 1)))) 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 (+ (* (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 (* 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 U) (/ 0 1)))) 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 (+ (* (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 (* 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 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 (* -2 (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 J) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (J U K) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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 (* 2 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* U (cos (/ -1/2 K)))) (/ 1/2 (* U (cos (/ -1/2 K))))) into (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (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 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) in U * [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 (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (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 (+ (* 1 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 U) (/ 0 -1)))) 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 (+ (* (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 (* 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) 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 U) (/ 0 -1)))) 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 (+ (* (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 (* 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 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking 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 (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 J) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (* (cos (* 1/2 K)) J))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* J -2) (hypot 1 (/ (/ (/ U 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]backup-simplify: Simplify (* 1 (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 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 (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) (+ (* 0 0) (* (- 1/8) (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (/ (pow U 2) J) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 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 U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 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 (* (cos (/ (/ 1 K) 2)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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 (* (* (/ 1 J) -2) (hypot 1 (/ (/ (/ (/ 1 U) (/ 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (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 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))))) 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 (+ (* (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 (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (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 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 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]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 (/ 1 J)) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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 (* (* (/ 1 (- J)) -2) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J))) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (* (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 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J))))) 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 (+ (* (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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ -1/2 K))) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ 1 J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (/ (/ U J) 2) in (U J) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 J) U)) into (* 1/2 (/ U J)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in (U J) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) into (* 1/2 (/ U J)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in (U J) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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))))) into (* 1/2 (/ U J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (expm1 (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 2 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log1p (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 3 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 4 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* J -2)) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* -2 J))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (log (* -2 J))) * * * * [misc]progress: [ 6 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 7 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (pow (exp (* -2 J)) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * [exit]simplify: Simplified to (pow (exp (* -2 J)) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) * * * * [misc]progress: [ 8 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (* J -2)) (* J -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]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (pow (* -2 J) 3) (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))))) (* (pow (* -2 J) 3) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 9 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [enter]simplify: Simplifying (cbrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 10 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (pow (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 3) * [exit]simplify: Simplified to (pow (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2))))) 3) * * * * [misc]progress: [ 11 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* -2 J) (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (* -2 J) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* -2 J) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 14 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (hypot 1 (/ (/ U (* 2 J)) (cos (/ K 2)))))) * * * * [misc]progress: [ 15 / 100 ] 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 (18 enodes) * [exit]simplify: Simplified to (* -2 J) * [exit]simplify: Simplified to (* -2 J) * * * * [misc]progress: [ 16 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (hypot 1 (/ (/ (/ U J) 2) (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)))) -2) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) -2) * * * * [misc]progress: [ 17 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ U 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 (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: [ 19 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ U 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 (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: [ 20 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ U J) 2)) (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: [ 22 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ U J) 2) (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 (233 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: [ 23 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ U 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 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 24 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (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 (427 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: [ 25 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (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 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 (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: [ 26 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (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 (287 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 27 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 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 (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 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 (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: [ 28 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ U J) 2)) * * [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) (* 2 J)) * [exit]simplify: Simplified to (/ (- U) (* 2 J)) * [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: [ 29 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (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 J) 2)) (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: [ 30 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (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 J) 2)) (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: [ 31 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 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 J) 2)) (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: [ 32 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) (* (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 J) 2)) (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: [ 33 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) (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 J) 2)) (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: [ 34 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) 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 J) 2)) (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: [ 35 / 100 ] 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 J) 2) (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: [ 36 / 100 ] 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 J) 2) (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: [ 37 / 100 ] 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 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 (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: [ 38 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) (* (cbrt (cos (/ K 2))) (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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 39 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ U J) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ U J) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 40 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ U J) * [exit]simplify: Simplified to (/ U J) * [enter]simplify: Simplifying (/ (/ 1 2) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ 1 2) (cos (/ K 2))) * * * * [misc]progress: [ 41 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 100 ] 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: [ 43 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2)) * * [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)) (* (/ 2 U) J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * * * * [misc]progress: [ 44 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) (* (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 (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2))))) * * * * [misc]progress: [ 45 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) (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: [ 46 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) 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: [ 47 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U J) 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 (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * * * * [misc]progress: [ 48 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U J) 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 (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * * * * [misc]progress: [ 49 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2)) * * [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)) (* (/ 2 U) J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * * * * [misc]progress: [ 50 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * * * * [misc]progress: [ 51 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) 2) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * * * * [misc]progress: [ 52 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (expm1 (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (expm1 (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 53 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (log1p (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (log1p (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 54 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 55 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 56 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (/ K 2))) (+ (log (* J -2)) (log (hypot 1 (/ (/ (/ U J) 2) (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 (78 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * * * * [misc]progress: [ 58 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (/ K 2))) (log (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (+ (+ (log (* J -2)) (log (cos (/ K 2)))) (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 59 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (198 enodes) * * [misc]simplify: iters left: 1 (209 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: [ 60 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (exp (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 61 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (* J -2) (* J -2)) (* J -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]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))))) * * * * [misc]progress: [ 62 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (pow (cos (/ K 2)) 3) (pow (* -2 J) 3)) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3)) * [exit]simplify: Simplified to (* (* (pow (cos (/ K 2)) 3) (pow (* -2 J) 3)) (pow (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) 3)) * * * * [misc]progress: [ 63 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 64 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 65 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [enter]simplify: Simplifying (sqrt (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) * * * * [misc]progress: [ 66 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* J -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: [ 68 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ K 2))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* J -2))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* J -2))) * * * * [misc]progress: [ 69 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos (/ K 2))) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* J -2))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (* J -2))) * * * * [misc]progress: [ 70 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 71 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ U J) 2)) * [exit]simplify: Simplified to (expm1 (/ (/ U J) 2)) * * * * [misc]progress: [ 73 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (/ (/ U J) 2)) * [exit]simplify: Simplified to (log1p (/ (/ U J) 2)) * * * * [misc]progress: [ 74 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (/ (/ U J) 2)) * [exit]simplify: Simplified to (log (/ (/ U J) 2)) * * * * [misc]progress: [ 76 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ U J))) * [exit]simplify: Simplified to (sqrt (exp (/ U J))) * * * * [misc]progress: [ 77 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 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 J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ U J) 2)) * [exit]simplify: Simplified to (cbrt (/ (/ U J) 2)) * * * * [misc]progress: [ 78 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (pow (/ (/ U J) 2) 3) * [exit]simplify: Simplified to (pow (/ (/ U J) 2) 3) * * * * [misc]progress: [ 79 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * [enter]simplify: Simplifying (sqrt (/ (/ U J) 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ U J) 2)) * * * * [misc]progress: [ 80 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ U J)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- U) J) * [exit]simplify: Simplified to (/ (- U) J) * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 81 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 83 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ U J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (* 2 J) U) * [exit]simplify: Simplified to (/ (* 2 J) U) * * * * [misc]progress: [ 84 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (cbrt (/ U J))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (/ U J))) * [exit]simplify: Simplified to (/ 2 (cbrt (/ U J))) * * * * [misc]progress: [ 85 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (/ U J))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (/ U J))) * [exit]simplify: Simplified to (/ 2 (sqrt (/ U J))) * * * * [misc]progress: [ 86 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ U J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (* 2 J) U) * [exit]simplify: Simplified to (/ (* 2 J) U) * * * * [misc]progress: [ 87 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ 1 J)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* 2 J) * [exit]simplify: Simplified to (* 2 J) * * * * [misc]progress: [ 88 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 J) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* J 2) * [exit]simplify: Simplified to (* J 2) * * * * [misc]progress: [ 89 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* -1 U)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (* (- U) (cos (/ K 2))) * * * * [misc]progress: [ 90 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* -2 J)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (/ K 2))) * * * * [misc]progress: [ 91 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* -2 J)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (/ K 2))) * * * * [misc]progress: [ 92 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -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 (151 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (* (hypot 1 (fma (/ U J) (* (* K K) 1/16) (* 1/2 (/ U J)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 93 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) * * [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 (114 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (* U (/ 1/2 J)) (cos (* K 1/2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 94 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) * * [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 (114 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (* U (/ 1/2 J)) (cos (* K 1/2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 95 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 96 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (* 1/2 K)) J)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (* K 1/2))) * * * * [misc]progress: [ 97 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (* 1/2 K)) J)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (* K 1/2))) * * * * [misc]progress: [ 98 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (* 1/2 (/ U J)) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 99 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (* 1/2 (/ U J)) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 100 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (* (* J -2) (hypot 1 (/ (* 1/2 (/ U J)) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (hypot 1 (/ (/ 1/2 (/ J U)) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(J K U) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))"}* * * * [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) * * * * [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 J) 2) (cos (/ K 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 J) 2) (cos (/ K 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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) * [misc]approximate: Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) into (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) * [misc]backup-simplify: Simplify (* (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) 0) (* 0 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (/ (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (/ (- (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (+ (* 0 0) (* (* 1/4 J) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)))) into (- (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) * [misc]backup-simplify: Simplify (+ (* (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (+ (* 0 0) (* (- (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (/ (pow U 2) J) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 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 U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) 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]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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 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 (- (/ 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 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 (- (/ 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))))))) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 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 (- (/ 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 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 (- (/ 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4))))))) (* 2 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 0) (+ (* (- 1/8) 0) (* 0 (* -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (+ (* 0 (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (+ (* (* 1/4 J) 0) (* 0 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) 0) (+ (* 0 (* 1/64 (* (/ (pow U 2) (pow J 2)) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) (+ (* (- (* 1/4 (* J (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))) (* 1/32 (* (/ (pow U 2) J) (pow (/ 1 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 3)) 1/4)))) 0) (* 0 (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 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 (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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 (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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]backup-simplify: Simplify (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) 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 (+ (* 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (cos (/ 1/2 K)))) into (/ 1/4 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (- (/ 1/4 (cos (/ 1/2 K)))) into (- (* 1/4 (/ 1 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-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 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 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 (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 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 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 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 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 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 (* 0 0)))) (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (/ (cos (/ 1/2 K)) J))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 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 (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 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 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/128 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (+ (* 0 0) (* (/ -1/128 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (cos (/ 1/2 K))))))) into (- (* 1/128 (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 3))))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/128 (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 3)))))) (+ (* 0 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))))) into (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 3)))) * [misc]taylor: Taking taylor expansion of (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 3)))) in U * [misc]taylor: Taking taylor expansion of 1/64 in U * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 3))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 3)) in U * [misc]taylor: Taking taylor expansion of (pow U 4) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 3) in U * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1/2 K)))) 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 (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 (* 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 (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 3)) (/ 0 (pow (cos (/ 1/2 K)) 3))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 3)) (/ 0 (pow (cos (/ 1/2 K)) 3))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 (/ 1 J)) 1))) (* (- (* 1/4 (/ 1 (cos (/ 1/2 (/ 1 K)))))) (* (pow (/ 1 U) -2) (* (/ 1 J) 1)))) into (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))) * [misc]approximate: Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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 (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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 (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)) into (* 2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) * [misc]backup-simplify: Simplify (* (* 2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)) into (* 2 (* (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) (/ (cos (/ -1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) (/ (cos (/ -1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) (/ (cos (/ -1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (pow (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) (+ (* 0 0) (* (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) into (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/2 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ 1/2 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* 1 (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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [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 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) 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 (+ (* 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1)))) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ -1/2 K))) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (cos (/ -1/2 K)))) into (/ 1/4 (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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-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 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) (+ (* (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 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 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 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)))) (* 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 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 (* 0 0)))) (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4))) into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (* (/ (cos (/ -1/2 K)) J) (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1/4))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1/4)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)) (* 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 (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 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 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow U 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (* 0 (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) (+ (* 0 0) (* 0 1))))) into (* 1/16 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/16 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))))) 1)) (pow 1 1)))) 24) into (/ -1/16 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -1/16 (* (pow U 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* 0 0) (+ (* 0 (/ 1/2 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 2) 2)) (* (/ (pow (- (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))))) 1) 1)))) into (/ -1/128 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) (+ (* 0 0) (* (/ -1/128 (* (pow U 4) (pow (cos (/ -1/2 K)) 4))) (cos (/ -1/2 K))))))) into (- (* 1/128 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 3))))) * [misc]backup-simplify: Simplify (+ (* 2 (- (* 1/128 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 3)))))) (+ (* 0 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))))) into (- (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 3))))) * [misc]taylor: Taking taylor expansion of (- (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 3))))) in U * [misc]taylor: Taking taylor expansion of (* 1/64 (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 3)))) in U * [misc]taylor: Taking taylor expansion of 1/64 in U * [misc]backup-simplify: Simplify 1/64 into 1/64 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 4) (pow (cos (/ -1/2 K)) 3))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 4) (pow (cos (/ -1/2 K)) 3)) in U * [misc]taylor: Taking taylor expansion of (pow U 4) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 3) in U * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ -1/2 K)))) 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 (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 (* 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 (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 3)) (/ 0 (pow (cos (/ -1/2 K)) 3))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 3)) (/ 0 (pow (cos (/ -1/2 K)) 3))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 3))))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) (* (/ 1/4 (cos (/ -1/2 (/ 1 (- K))))) (* (pow (/ 1 (- U)) -2) (* (/ 1 (- J)) 1)))) into (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)))) into 0 * [misc]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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 J) (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 J) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 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 (* (cos (* 1/2 K)) J))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (* (cos (* 1/2 K)) J))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] 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 J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] 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 J) 2) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (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 J) 2) (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 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 30 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 31 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (224 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: [ 32 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (224 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: [ 33 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (224 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: [ 34 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (log (* J -2)))) * * * * [misc]progress: [ 36 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (cos (/ K 2)) (* J -2))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (+ (log (* (* -2 J) (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * [exit]simplify: Simplified to (+ (log (* (* -2 J) (cos (/ K 2)))) (+ (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * * * [misc]progress: [ 37 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (+ (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* -2 J)))) * [exit]simplify: Simplified to (+ (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (cos (/ K 2)))) (log (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* -2 J)))) * * * * [misc]progress: [ 38 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * * [misc]simplify: iters left: 1 (448 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: [ 39 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (exp (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 40 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (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 (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (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: [ 41 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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 (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2))))) (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * * * * [misc]progress: [ 43 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (241 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 (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 44 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) 3) * [exit]simplify: Simplified to (pow (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) 3) * * * * [misc]progress: [ 45 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 46 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 48 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (fabs (cbrt (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)))))) (fabs (cbrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 49 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * * * * [misc]progress: [ 50 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (sqrt 1)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* -2 J) (sqrt 1)) (cos (/ K 2)))) * * * * [misc]progress: [ 51 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) * * * * [misc]progress: [ 52 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) * * [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 (151 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (361 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: [ 53 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 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 2) J) (cos (/ K 2)))) * [exit]simplify: Simplified to (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))) * * * * [misc]progress: [ 54 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ U 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 (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: [ 56 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ U 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 (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: [ 57 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ U J) 2)) (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: [ 59 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ U J) 2) (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 (233 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: [ 60 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ U 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 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 61 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ U J) 2) (/ (/ U J) 2)) (/ (/ U J) 2)) (* (* (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 (427 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: [ 62 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (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 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 (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: [ 63 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (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 (287 enodes) * [exit]simplify: Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) * * * * [misc]progress: [ 64 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ U 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 (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 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 (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: [ 65 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ U J) 2)) * * [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) (* 2 J)) * [exit]simplify: Simplified to (/ (- U) (* 2 J)) * [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: [ 66 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (* (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 J) 2)) (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: [ 67 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) (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 J) 2)) (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: [ 68 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ U J) 2)) (cbrt (/ (/ U J) 2))) 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 J) 2)) (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: [ 69 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) (* (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 J) 2)) (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: [ 70 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) (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 J) 2)) (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: [ 71 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ U J) 2)) 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 J) 2)) (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: [ 72 / 100 ] 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 J) 2) (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: [ 73 / 100 ] 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 J) 2) (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: [ 74 / 100 ] 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 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 (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: [ 75 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) (* (cbrt (cos (/ K 2))) (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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (cos (/ K 2)))) * * * * [misc]progress: [ 76 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ U J) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ U J) (sqrt (cos (/ K 2)))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 77 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ U J) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ U J) * [exit]simplify: Simplified to (/ U J) * [enter]simplify: Simplifying (/ (/ 1 2) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ 1 2) (cos (/ K 2))) * * * * [misc]progress: [ 78 / 100 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 100 ] 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: [ 80 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2)) * * [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)) (* (/ 2 U) J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * * * * [misc]progress: [ 81 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) (* (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 (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2))))) * [exit]simplify: Simplified to (/ (/ U (cbrt (cos (/ K 2)))) (* (* 2 J) (cbrt (cos (/ K 2))))) * * * * [misc]progress: [ 82 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) (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: [ 83 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ U J) 2) 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: [ 84 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (cbrt (/ (/ U J) 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 (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (cbrt (/ U (* J 2)))) * * * * [misc]progress: [ 85 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (sqrt (/ (/ U J) 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 (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * [exit]simplify: Simplified to (/ (cos (/ K 2)) (sqrt (/ U (* J 2)))) * * * * [misc]progress: [ 86 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ (/ U J) 2)) * * [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)) (* (/ 2 U) J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* (/ 2 U) J)) * * * * [misc]progress: [ 87 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (/ K 2)) (/ 1 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * * * * [misc]progress: [ 88 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) 2) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * [exit]simplify: Simplified to (* (cos (/ K 2)) 2) * * * * [misc]progress: [ 89 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1) * * [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 (151 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 90 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (/ +nan.0 (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 91 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (/ +nan.0 (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 92 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) 1) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* -2 J) (cos (/ K 2)))) * * * * [misc]progress: [ 93 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (/ +nan.0 (* (cos (* 1/2 K)) J))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 94 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (/ +nan.0 (* (cos (* 1/2 K)) J))) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 95 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 96 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (* (* 2 (- J)) (cos (* K 1/2))) (/ (/ (* U 1/4) (/ J U)) (cos (* K 1/2)))) * * * * [misc]progress: [ 97 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (pow U 2) (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (* (* 2 (- J)) (cos (* K 1/2))) (/ (/ (* U 1/4) (/ J U)) (cos (* K 1/2)))) * * * * [misc]progress: [ 98 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (fma (* 1/16 U) (* (/ K J) K) (/ 1/2 (/ J U)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 99 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (360 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ 1/2 (/ J U)) (cos (* K 1/2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 100 / 100 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (sqrt (hypot 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (360 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ 1/2 (/ J U)) (cos (* K 1/2)))))) (sqrt (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate "ALT DATA: 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(J K U) (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))))"}* * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 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 (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (/ (pow U 2) J) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 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 U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 (/ 1 J)) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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 (+ (* (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 (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ -1/2 K))) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 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 (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (/ (pow U 2) J) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 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 U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 (/ 1 J)) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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 (+ (* (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 (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ -1/2 K))) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 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 (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (/ (pow U 2) J) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 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 U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 (pow U 2))) into (/ 4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (/ 4 (pow U 2))) into (/ 2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 (pow U 2)) (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 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 (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) 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 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) (* 0 (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 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 J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 (/ 1 J)) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 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 (+ (* (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 (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (cos (/ -1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of 1/4 in U * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* (pow U 2) (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of (pow U 2) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 1 (cos (/ -1/2 K))) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) 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 U * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (/ (* (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 (+ (* (pow U 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) into (* -2 (* (cos (* 1/2 K)) J)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (* (cos (* 1/2 K)) J)) 1) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) 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 (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 1) (+ (* U (/ 0 1)))) 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 (+ (* (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 (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]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 -2) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (* 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) 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)) -2) (* 0 0)) 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]backup-simplify: Simplify (log (- U)) into (log (- U)) * [misc]backup-simplify: Simplify (* 1/3 (log (- U))) into (* 1/3 (log (- U))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- U)))) into (pow (- U) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]backup-simplify: Simplify (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (* J -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* 1 (* -2 J)) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) * [misc]backup-simplify: Simplify (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (pow U 2))) into (* 1/2 U) * [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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/2 U)) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 U))) into (* 1/2 U) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) * [misc]backup-simplify: Simplify (log (- U)) into (log (- U)) * [misc]backup-simplify: Simplify (* 1/3 (log (- U))) into (* 1/3 (log (- U))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- U)))) into (pow (- U) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- U) 1/3) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- U)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- U))) 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 (- 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log -1)) into (+ (log -1) (log U)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1) (log U))) into (* 1/3 (+ (log -1) (log U))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1) (log U)))) into (exp (* 1/3 (+ (log -1) (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1) (log U)))) into (exp (* 1/3 (+ (log -1) (log U)))) * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 U))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 U)) (+ (* 1 0) (* 0 (* 1/2 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (- U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log -1)) into (+ (log -1) (log U)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (* -2 J)))) into (* 1/4 J) * [misc]backup-simplify: Simplify (+ (* (* -2 J) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* 0 0) (* (* 1/4 J) (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) into (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) 1)) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))) (+ (* 0 0) (* 0 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))))) into (- (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/24) 1) 1)))) into (* (- (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/24) (* (pow (* J -2) 1/3) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6))) * [misc]taylor: Taking taylor expansion of (* (- (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/24) (* (pow (* J -2) 1/3) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6))) in J * [misc]taylor: Taking taylor expansion of (- (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/24) in J * [misc]taylor: Taking taylor expansion of (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/96 in J * [misc]backup-simplify: Simplify 1/96 into 1/96 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (* 1 (* 1/4 (pow U 2))) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (/ (pow U 2) (* 1/4 (pow U 2))) into 4 * [misc]taylor: Taking taylor expansion of 1/24 in J * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (* (pow (* J -2) 1/3) (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6)) in J * [misc]taylor: Taking taylor expansion of (pow (* J -2) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* J -2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* J -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 (* J -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]backup-simplify: Simplify (* 0 -2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 -2)) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log -2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -2) (log J))) into (* 1/3 (+ (log -2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -2) (log J)))) into (exp (* 1/3 (+ (log -2) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/6 in J * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow U 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow U 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (/ (pow U 2) 1) into (pow U 2) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 (pow U 2)) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (pow U 2)) 0) into (* 1/4 (pow U 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow U 2))) into (log (* 1/4 (pow U 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) * [misc]backup-simplify: Simplify (* 1/96 4) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 1/24 -1/24) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log J)))) (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) into (* (exp (* 1/3 (+ (log -2) (log J)))) (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))) * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/3 (+ (log -2) (log J)))) (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow U 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow U 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow U 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log U))) (+ (* (/ (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 U 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow U 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 U))))) (* 2 (* 1/2 U))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (/ 1 U)) (+ (* 0 0) (* 0 (* 1/2 U))))) into (/ 1 U) * [misc]backup-simplify: Simplify (+ (* -2 (/ 1 U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ 1 U))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- U) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 U)))) 1)) (pow (- U) 1)))) 2) into (/ 2 (pow U 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 2 (pow U 2))) (+ (* 0 0) (* 0 (log (- U))))) into (* 2/3 (/ 1 (pow U 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ 1 (pow U 2))) 1) 1)))) into (* 2/3 (pow (/ -1 (pow U 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow (/ -1 (pow U 5)) 1/3)) in U * [misc]taylor: Taking taylor expansion of 2/3 in U * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow U 5)) 1/3) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow U 5))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow U 5)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow U 5))) in U * [misc]taylor: Taking taylor expansion of (/ -1 (pow U 5)) in U * [misc]taylor: Taking taylor expansion of -1 in U * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow U 5) in U * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log U)) (log -1)) into (- (log -1) (* 5 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log U)))) into (* 1/3 (- (log -1) (* 5 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log U))))) into (exp (* 1/3 (- (log -1) (* 5 (log U))))) * [misc]backup-simplify: Simplify (* 2/3 (exp (* 1/3 (- (log -1) (* 5 (log U)))))) into (* 2/3 (exp (* 1/3 (- (log -1) (* 5 (log U)))))) * [misc]backup-simplify: Simplify (* 2/3 (exp (* 1/3 (- (log -1) (* 5 (log U)))))) into (* 2/3 (exp (* 1/3 (- (log -1) (* 5 (log 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log -1)) into (+ (log -1) (log U)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -1) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 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 (- (/ 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 J) (+ (* (/ U J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ U J)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 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 (- (/ 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 0) (+ (* (- 1/8) 0) (* 0 (* -2 J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (+ (* 0 (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (+ (* (* 1/4 J) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/4 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) 1)) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/2 (- (* 1/16 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/4))) (+ (* 0 0) (* 0 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* J (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/96 (/ (pow U 2) (* (pow J 2) (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow U 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (pow U 2)))) into (- (log (* 1/4 (pow U 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log -2) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log -2) (log J)))) 0) (* 0 (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J))))))) 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 (/ (+ (* 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 (- (/ 0 1) (+ (* (pow U 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow U 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 1/4 (pow U 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 (pow U 2))) (+ (* 4 (/ 0 (* 1/4 (pow U 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/96 0) (* 0 4)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (* (exp (* 1/3 (+ (log -2) (log J)))) (exp (* 1/6 (- (log (* 1/4 (pow U 2))) (* 2 (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 2/3 (exp (* 1/3 (- (log -1) (* 5 (log U)))))) (pow (* 1 (* J 1)) 2)) (exp (* 1/3 (+ (log -1) (log U))))) into (+ (* 2/3 (* (exp (* 1/3 (- (log -1) (* 5 (log U))))) (pow J 2))) (exp (* 1/3 (+ (log -1) (log U))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (* 1/2 (/ J (cos (/ 1/2 K))))) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log -1)) into (- (log -1) (log U)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log U))) into (* 1/3 (- (log -1) (log U))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log U)))) into (exp (* 1/3 (- (log -1) (log U)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking 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 U) 1) 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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 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 (* U (cos (/ 1/2 K)))) * [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 (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-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) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) -2) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 K))) 1) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (* (/ 1 J) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 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 (hypot 1 (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) 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 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (/ -2 J)) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* -2 (/ (cos (/ 1/2 K)) J)) (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) into (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) into (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ (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 (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (/ -2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* (/ J U) (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (/ -2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (/ (cos (/ 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1)))) into (* 1/24 (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/24 in U * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (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 (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (cos (/ 1/2 K)) 2)) into (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -1 (/ (pow 0 2) 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 (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (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 (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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)) (+ (* (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (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 (+ (* 1/24 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in (K J U) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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) 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)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) 0) into (- (log U)) * [misc]backup-simplify: Simplify (* 1/3 (- (log U))) into (* -1/3 (log U)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log U))) into (pow U -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) -1) 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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- 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 (* U (cos (/ -1/2 K)))) * [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 (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-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) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 2) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 K))) 1) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into (* 1/3 (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) into (pow (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (* (/ 1 (- J)) -2)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- 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 (hypot 1 (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (sqrt (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1 1) (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) 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 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) 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 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)))) 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 (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (/ 2 J)) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (* 2 (/ (cos (/ -1/2 K)) J)) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) into (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))) into (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) into (* 1/3 (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) into (pow (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))) 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 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (* (pow U 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 U 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow U 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (exp (* 2 (log U))) into (pow U 2) * [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 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (* (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]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (/ 2 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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)) (+ (* (/ J U) (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ J U)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 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 (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (/ 2 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (/ (cos (/ -1/2 K)) J)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1)) (/ (cos (/ -1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (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 (+ 0 (/ 1/4 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (cos (/ -1/2 K)))))) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/8 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1) 1)))) into (* 1/24 (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/24 in U * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (* (pow U 2) (pow (cos (/ -1/2 K)) 2))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (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 (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (cos (/ -1/2 K)) 2)) into (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -1 (/ (pow 0 2) 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 (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (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 (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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)) (+ (* (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (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 (+ (* 1/24 0) (+ (* 0 0) (* 0 (/ (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (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 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (129 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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (120 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (120 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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -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]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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 (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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: [ 12 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (339 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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (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 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (129 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: [ 28 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (120 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (120 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: [ 30 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -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]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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 (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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: [ 32 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (339 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: [ 34 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (expm1 (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log1p (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (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 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (log (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cos (/ K 2)) (* J -2))) (log (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (129 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: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (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 (120 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (log (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (120 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: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* J -2) (* J -2)) (* J -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]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (pow (* -2 J) 3) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))) (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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 (* (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (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: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 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 (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (339 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: [ 54 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) -2) (* (cbrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) (* J (cos (/ K 2))))) * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) (sqrt (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 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 (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (sqrt (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ K 2)) (* J -2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (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 (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))) * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (expm1 (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (log1p (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (log (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (exp (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cos (/ K 2)) (* J -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 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (* -2 J) (cos (/ K 2)))) * [enter]simplify: Simplifying (cbrt (hypot 1 (/ (/ (/ U J) 2) (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: [ 68 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [enter]simplify: Simplifying (sqrt (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt 0)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (cbrt 0) (* (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)))))))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (131 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))))))) (cbrt (* (* -2 J) (cos (* K 1/2))))) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (131 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))))))) (cbrt (* (* -2 J) (cos (* K 1/2))))) * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt 0)) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cbrt 0) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (* K 1/2)) (* -2 J))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* -2 (* (cos (* 1/2 K)) J)))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (* K 1/2)) (* -2 J))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt 0) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (cbrt 0) (* (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (hypot 1 (/ (/ U (* J 2)) (cos (/ K 2)))) (* (cos (/ K 2)) (* -2 J)))))) * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* -2 (* (cos (* 1/2 K)) J))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (* K 1/2)) (* J -2))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))) * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* -2 (* (cos (* 1/2 K)) J))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (* K 1/2)) (* J -2))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))) (cbrt (* (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (cos (/ K 2)) (* J -2))))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (+ (* 2/3 (* (exp (* 1/3 (- (log -1) (* 5 (log U))))) (pow J 2))) (exp (* 1/3 (+ (log -1) (log U)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (349 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))))))) (fma (* (* (cbrt -1) (pow (cbrt U) (- 5))) 2/3) (* J J) (cbrt (* U -1)))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* -2 (cos (* K 1/2)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt J))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (* (* (cos (/ K 2)) (* J -2)) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* 2 (cos (* K 1/2)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))))) (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2)))))) (pow (/ -1 J) (- 1/3)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (* J -2) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (* -2 J) (hypot 1 (/ (/ (/ U J) 2) (cos (/ K 2))))) * * * * [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 7996 / 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 8000 points with exact outputs