* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) (sin th)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of 1/2 in ky * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (sqr kx))) (* 1 (* ky 1)))) into (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 ky) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 kx) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ -1 kx) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqr (sin ky)) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow ky 6)) (+ (* -1/3 (pow ky 4)) (* 1 (sqr ky)))) into (- (+ (* 2/45 (pow ky 6)) (sqr ky)) (* 1/3 (pow ky 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 ky))) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sin kx)) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow kx 6)) (+ (* -1/3 (pow kx 4)) (* 1 (sqr kx)))) into (- (+ (sqr kx) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 kx))) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (/ (sin ky) (sin ky)) into 1 * [misc]taylor: Taking taylor expansion of (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx)) * [misc]taylor: Taking taylor expansion of (/ 1 (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx)) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/2 (/ 1 (pow (sin kx) 3))) (* 1/6 (/ 1 (sin kx))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow (sin kx) 3))) (* 1/6 (/ 1 (sin kx))))) in kx * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow (sin kx) 3))) (* 1/6 (/ 1 (sin kx)))) in kx * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx * [misc]taylor: Taking taylor expansion of 1/2 in kx * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin kx) 3) in kx * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (sin kx)))) in kx * [misc]taylor: Taking taylor expansion of (* 3 (log (sin kx))) in kx * [misc]taylor: Taking taylor expansion of 3 in kx * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log kx)) 0) into (log kx) * [misc]backup-simplify: Simplify (* 3 (log kx)) into (* 3 (log kx)) * [misc]backup-simplify: Simplify (exp (* 3 (log kx))) into (pow kx 3) * [misc]backup-simplify: Simplify (/ 1 (pow kx 3)) into (/ 1 (pow kx 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx * [misc]taylor: Taking taylor expansion of 1/6 in kx * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow kx 3))) into (/ 1/2 (pow kx 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow kx 3)) 0) into (* 1/2 (/ 1 (pow kx 3))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (pow kx 3)))) into (- (* 1/2 (/ 1 (pow kx 3)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (pow kx 3)))) into (- (* 1/2 (/ 1 (pow kx 3)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/2 (/ 1 (pow (sin kx) 3))) (* 1/6 (/ 1 (sin kx))))) (/ 0 (sin kx))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log kx)) 0) into (log kx) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log kx))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log kx))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow kx 3)) (/ 0 (pow kx 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow kx 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36 * [misc]backup-simplify: Simplify (+ 0 1/36) into 1/36 * [misc]backup-simplify: Simplify (- 1/36) into -1/36 * [misc]backup-simplify: Simplify -1/36 into -1/36 * [misc]backup-simplify: Simplify (+ (* -1/36 (* kx (pow ky 3))) (+ (* (- (* 1/2 (/ 1 (pow kx 3)))) (pow (* 1 ky) 3)) (* 1/6 (* kx ky)))) into (- (* 1/6 (* kx ky)) (+ (* 1/36 (* kx (pow ky 3))) (* 1/2 (/ (pow ky 3) (pow kx 3))))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (/ 0 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (+ (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) 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 (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (+ (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (* 0 (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]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 (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (/ 0 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (* 0 (/ 0 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))))) 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 (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (+ (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (* 0 (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (* 0 (/ 0 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- ky))) (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- ky))) (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- ky))) (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- ky))) (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 ky) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ -1 ky) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 ky) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ -1 ky) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 kx) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (/ 0 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (+ (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) 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 (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))) (* 0 (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (+ (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (* 0 (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]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 (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (/ 0 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (* 0 (/ 0 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))))) 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 (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))) (* 0 (/ 0 (- kx))) (* 0 (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (+ (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (* 0 (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (* 0 (/ 0 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3)))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (+ (* (* kx kx) (* 1/12 ky)) (- ky (* (* ky ky) (* 1/6 ky))))) * * * * [misc]progress: [ 2 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))) * * * * [misc]progress: [ 3 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))) * * * * [misc]progress: [ 4 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (- (+ (* 2/45 (pow ky 6)) (sqr ky)) (* 1/3 (pow ky 4)))))) (sin th)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (- (* ky ky) (* (pow ky 4) 1/3)) (+ (* (pow ky 6) 2/45) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 5 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin (/ 1 ky)))))) (sin th)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ 1 ky))) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 6 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin (/ -1 ky)))))) (sin th)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ -1 ky))) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 7 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (- (+ (sqr kx) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (sqr (sin ky))))) (sin th)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (- (+ (* (sin ky) (sin ky)) (* (pow kx 6) 2/45)) (- (* 1/3 (pow kx 4)) (sqr kx))))) * * * * [misc]progress: [ 8 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin ky))))) (sin th)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 9 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ -1 kx))) (sqr (sin ky))))) (sin th)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ -1 kx))) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 10 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/6 (* kx ky)) (+ (* 1/36 (* kx (pow ky 3))) (* 1/2 (/ (pow ky 3) (pow kx 3))))) (sin th)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (* (- (- (* 1/6 (* ky kx)) (* (* kx 1/36) (cube ky))) (* (* (/ ky kx) (/ ky kx)) (* 1/2 (/ ky kx)))) (sin th)) * * * * [misc]progress: [ 11 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (* (sin (/ 1 ky)) (sin th)) (sqrt (/ 1 (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))))) * * * * [misc]progress: [ 12 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1 ky)) (sin th)) (sqrt (/ 1 (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky))))))) * * * * [misc]progress: [ 13 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 16 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 17 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 18 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 19 / 75 ] 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 (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 20 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (fabs 1) * [exit]simplify: Simplified to (fabs 1) * [enter]simplify: Simplifying (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 21 / 75 ] 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 (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 22 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqr (sin kx))) (- (sqr (sqr (sin ky))) (* (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 23 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (sqr (sin kx))) (sqr (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (* (sin kx) (sin kx))) (sqr (sqr (sin ky))))) * [exit]simplify: Simplified to (sqrt (- (sqr (* (sin kx) (sin kx))) (sqr (sqr (sin ky))))) * [enter]simplify: Simplifying (sqrt (- (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * * * * [misc]progress: [ 24 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 25 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos ky)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (cos ky) (cos ky)) * [exit]simplify: Simplified to (* (cos ky) (cos ky)) * * * * [misc]progress: [ 28 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 ky))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ ky ky))) * [exit]simplify: Simplified to (* 1/2 (cos (+ ky ky))) * * * * [misc]progress: [ 29 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (log (* (sin ky) (sin ky))) * * * * [misc]progress: [ 32 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (exp (* (sin ky) (sin ky))) * * * * [misc]progress: [ 33 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (cbrt (* (sin ky) (sin ky))) * * * * [misc]progress: [ 34 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqr (cube (sin ky))) * [exit]simplify: Simplified to (sqr (cube (sin ky))) * * * * [misc]progress: [ 35 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin ky)) * [exit]simplify: Simplified to (fabs (sin ky)) * * * * [misc]progress: [ 36 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin ky) (sin ky)) * [exit]simplify: Simplified to (* (sin ky) (sin ky)) * * * * [misc]progress: [ 37 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos kx)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (cos kx) (cos kx)) * [exit]simplify: Simplified to (* (cos kx) (cos kx)) * * * * [misc]progress: [ 40 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 kx))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * * * * [misc]progress: [ 41 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (log (* (sin kx) (sin kx))) * * * * [misc]progress: [ 44 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (exp (* (sin kx) (sin kx))) * * * * [misc]progress: [ 45 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (cbrt (* (sin kx) (sin kx))) * * * * [misc]progress: [ 46 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqr (cube (sin kx))) * [exit]simplify: Simplified to (sqr (cube (sin kx))) * * * * [misc]progress: [ 47 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin kx)) * [exit]simplify: Simplified to (fabs (sin kx)) * * * * [misc]progress: [ 48 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sin kx)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin kx) (sin kx)) * [exit]simplify: Simplified to (* (sin kx) (sin kx)) * * * * [misc]progress: [ 49 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin ky)) (log (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (log (sin ky)) (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (- (log (sin ky)) (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 53 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (log (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 54 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (exp (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 55 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sin ky)) (cube (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (cube (sin ky)) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (/ (cube (sin ky)) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 56 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 57 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (cube (sin ky)) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (/ (cube (sin ky)) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 58 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin ky)) (cbrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 59 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (sqrt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 60 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin ky)) (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 61 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin ky)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin ky)) * [exit]simplify: Simplified to (- (sin ky)) * [enter]simplify: Simplifying (- (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (- (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 62 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 63 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqr 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (fabs 1)) * [exit]simplify: Simplified to (/ 1 (fabs 1)) * [enter]simplify: Simplifying (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 64 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 65 / 75 ] 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 (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 66 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * * * [misc]progress: [ 68 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) * * * * [misc]progress: [ 69 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin ky) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt 1)) * [exit]simplify: Simplified to (/ (sin ky) (sqrt 1)) * * * * [misc]progress: [ 70 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin ky) (sqrt (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (sin ky) (fabs 1)) * [exit]simplify: Simplified to (/ (sin ky) (fabs 1)) * * * * [misc]progress: [ 71 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin ky) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt 1)) * [exit]simplify: Simplified to (/ (sin ky) (sqrt 1)) * * * * [misc]progress: [ 72 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin ky) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin ky) 1) * [exit]simplify: Simplified to (/ (sin ky) 1) * * * * [misc]progress: [ 73 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) * * * * [misc]progress: [ 74 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin ky) (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (cube (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (cube (* (sin kx) (sin kx)))))) * * * * [misc]progress: [ 75 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin ky) (sqrt (- (sqr (sqr (sin kx))) (sqr (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (* (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (* (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of 1/2 in ky * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (sqr kx))) (* 1 (* ky 1)))) into (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 ky) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 kx) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ -1 kx) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1 2) * [misc]approximate: Taking taylor expansion of (sqr (sin ky)) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow ky 6)) (+ (* -1/3 (pow ky 4)) (* 1 (sqr ky)))) into (- (+ (* 2/45 (pow ky 6)) (sqr ky)) (* 1/3 (pow ky 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 ky))) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sin kx)) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow kx 6)) (+ (* -1/3 (pow kx 4)) (* 1 (sqr kx)))) into (- (+ (sqr kx) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 kx))) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (/ (sin ky) (sin ky)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (/ (sin ky) (sin ky)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in ky * [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 (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]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))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sin ky)) (sin ky)) (+ (* 1 (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into (* 1/2 (/ 1 (sqr (sin ky)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (sqr (sin ky)))) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (sqr (sin ky))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (sqr (sin ky))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of 1/2 in ky * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/3 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (sin (/ 1 ky))) into (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (sin (/ 1 ky))) into (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (sin (/ 1 ky))) into (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (/ 0 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (/ 0 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (/ 0 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) (* 0 (/ 0 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (/ 0 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (* 0 (/ 0 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (/ 0 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) (* 0 (/ 0 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) (* 0 (/ 0 (* (/ 1 (sin (/ 1 ky))) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (sin (/ -1 ky))) into (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (sin (/ -1 ky))) into (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (sin (/ -1 ky))) into (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 ky) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 ky) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 kx) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ -1 kx) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (/ 0 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (/ 0 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (/ 0 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) (* 0 (/ 0 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (/ 0 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (* 0 (/ 0 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (/ 0 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) (* 0 (/ 0 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) (* 0 (/ 0 (* (/ 1 (sin (/ -1 ky))) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (+ ky (- (* (* kx kx) (* 1/12 ky)) (* (* ky ky) (* ky 1/6))))) * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))) * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))) * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin kx)) (- (+ (* 2/45 (pow ky 6)) (sqr ky)) (* 1/3 (pow ky 4))))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (+ (* 2/45 (pow ky 6)) (sqr ky)) (- (sqr (sin kx)) (* (pow ky 4) 1/3))))) * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin (/ 1 ky))))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin kx)) (sqr (sin (/ 1 ky)))))) * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin (/ -1 ky))))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (sqr (sin kx)) (sqr (sin (/ -1 ky)))))) * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (- (+ (sqr kx) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (sqr (sin ky)))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (+ (sqr (sin ky)) (* kx kx)) (- (* 2/45 (pow kx 6)) (* (pow kx 4) 1/3))))) * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin ky)))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (sqr (sin ky))))) * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (sqrt (+ (sqr (sin (/ -1 kx))) (sqr (sin ky)))) (sin ky))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (sin th)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (* (sin (/ 1 ky)) (sin th)) (sqrt (/ 1 (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1 ky)) (sin th)) (sqrt (/ 1 (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky))))))) * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 19 / 71 ] 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 (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (fabs 1) * [exit]simplify: Simplified to (fabs 1) * [enter]simplify: Simplifying (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 21 / 71 ] 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 (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqr (sin kx))) (- (sqr (sqr (sin ky))) (* (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (sqr (sin kx))) (sqr (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (* (sin kx) (sin kx))) (sqr (sqr (sin ky))))) * [exit]simplify: Simplified to (sqrt (- (sqr (* (sin kx) (sin kx))) (sqr (sqr (sin ky))))) * [enter]simplify: Simplifying (sqrt (- (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos ky)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (cos ky) (cos ky)) * [exit]simplify: Simplified to (* (cos ky) (cos ky)) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 ky))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ ky ky))) * [exit]simplify: Simplified to (* 1/2 (cos (+ ky ky))) * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (log (* (sin ky) (sin ky))) * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (exp (* (sin ky) (sin ky))) * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (cbrt (* (sin ky) (sin ky))) * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqr (cube (sin ky))) * [exit]simplify: Simplified to (sqr (cube (sin ky))) * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin ky)) * [exit]simplify: Simplified to (fabs (sin ky)) * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin ky) (sin ky)) * [exit]simplify: Simplified to (* (sin ky) (sin ky)) * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos kx)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (cos kx) (cos kx)) * [exit]simplify: Simplified to (* (cos kx) (cos kx)) * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 kx))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (log (* (sin kx) (sin kx))) * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (exp (* (sin kx) (sin kx))) * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (cbrt (* (sin kx) (sin kx))) * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqr (cube (sin kx))) * [exit]simplify: Simplified to (sqr (cube (sin kx))) * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin kx)) * [exit]simplify: Simplified to (fabs (sin kx)) * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sin kx)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin kx) (sin kx)) * [exit]simplify: Simplified to (* (sin kx) (sin kx)) * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) (log (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (log (sin ky)))) * [exit]simplify: Simplified to (- (- (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (log (sin ky)))) * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (- (log (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))) * [exit]simplify: Simplified to (- (log (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))) * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * [exit]simplify: Simplified to (log (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * [exit]simplify: Simplified to (exp (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky))))) (/ (* (sin ky) (sin ky)) (+ (sqr (sin kx)) (* (sin ky) (sin ky))))) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky))))) (/ (* (sin ky) (sin ky)) (+ (sqr (sin kx)) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * [exit]simplify: Simplified to (sqrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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 (- (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) * [exit]simplify: Simplified to (- (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) * [exit]simplify: Simplified to (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqr 1)) 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 1 (fabs 1)) * [exit]simplify: Simplified to (/ 1 (fabs 1)) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 69 / 71 ] 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 * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of 1/2 in ky * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (sqr kx))) (* 1 (* ky 1)))) into (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 ky) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 kx) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ -1 kx) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in ky * [misc]taylor: Taking taylor expansion of (sin kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (sin kx) into (sin kx) * [misc]backup-simplify: Simplify (cos kx) into (cos kx) * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin kx) 1) into (sin kx) * [misc]backup-simplify: Simplify (* (cos kx) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin kx) 0) into (sin kx) * [misc]backup-simplify: Simplify (* (sin kx) (sin kx)) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr (sin kx)) 0) into (sqr (sin kx)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin kx))) into (sin kx) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin kx))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sin kx)) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin kx)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin kx)) (sqr (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (sin ky) into (sin ky) * [misc]backup-simplify: Simplify (cos ky) into (cos ky) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin ky) 1) into (sin ky) * [misc]backup-simplify: Simplify (* (cos ky) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin ky) 0) into (sin ky) * [misc]backup-simplify: Simplify (* (sin ky) (sin ky)) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (+ 0 (sqr (sin ky))) into (sqr (sin ky)) * [misc]backup-simplify: Simplify (sqrt (sqr (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqr (sin ky))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (sin ky)) (sqrt (sin ky))) into (sin ky) * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sin ky)) 0) (* 0 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky)) * [misc]backup-simplify: Simplify (/ (- (/ 1/2 (sin ky)) (sqr 0) (+)) (* 2 (sqrt (sin ky)))) into (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sin ky)) (* 1/4 (sqrt (/ 1 (pow (sin ky) 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (sqrt (sin ky))))) into (* 1/2 (/ 1 (sin ky))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sin ky))) in ky * [misc]taylor: Taking taylor expansion of 1/2 in ky * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))))))) (* 2 (sqrt (sin ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (sin ky)) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow (sin ky) 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) 0) (* 0 (sqrt (sin ky)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/2 1/6) (+ (* 0 0) (* 0 1))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (sqr kx))) (* 1 (* ky 1)))) into (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (/ 1 ky) into (/ 1 ky) * [misc]backup-simplify: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ 1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 kx))) (sqr (sin (/ 1 ky)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) into (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4)) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ 1 kx) into (/ 1 kx) * [misc]backup-simplify: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ 1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) into (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]backup-simplify: Simplify (+ (* (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) 0) (* 0 (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) into (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in ky * [misc]taylor: Taking taylor expansion of (- kx) in ky * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (/ 1 (- kx)) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- kx) into (- kx) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 kx) (/ 0 (- kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ 1 (- kx)))) (sqr (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in kx * [misc]taylor: Taking taylor expansion of (- ky) in kx * [misc]taylor: Taking taylor expansion of ky in kx * [misc]backup-simplify: Simplify ky into ky * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (/ 1 (- ky)) into (/ -1 ky) * [misc]backup-simplify: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (cos (/ -1 ky)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 kx))) (sqr (sin (/ -1 ky)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) into (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4)) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) in ky * [misc]taylor: Taking taylor expansion of (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 ky) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ -1 ky)) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ -1 kx))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 kx)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 kx) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of kx in ky * [misc]backup-simplify: Simplify kx into kx * [misc]backup-simplify: Simplify (/ -1 kx) into (/ -1 kx) * [misc]backup-simplify: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (cos (/ -1 kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) into (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * [misc]backup-simplify: Simplify (+ (* (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) 0) (* 0 (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- ky) into (- ky) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 ky) (/ 0 (- ky))) (* 0 (/ 0 (- ky))) (* 0 (/ 0 (- ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) into (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqr (sin ky)) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow ky 6)) (+ (* -1/3 (pow ky 4)) (* 1 (sqr ky)))) into (- (+ (* 2/45 (pow ky 6)) (sqr ky)) (* 1/3 (pow ky 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 ky))) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [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 (sin (/ 1 ky)) into (sin (/ 1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 ky))) into (sqr (sin (/ 1 ky))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in (ky) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in ky * [misc]taylor: Taking taylor expansion of (- ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- ky))) into (sin (/ -1 ky)) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 ky))) into (sqr (sin (/ -1 ky))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sin kx)) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin kx)) in kx * [misc]taylor: Taking taylor expansion of (sin kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow kx 6)) (+ (* -1/3 (pow kx 4)) (* 1 (sqr kx)))) into (- (+ (sqr kx) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 kx))) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 kx))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [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 (sin (/ 1 kx)) into (sin (/ 1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 kx))) into (sqr (sin (/ 1 kx))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in (kx) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- kx)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in kx * [misc]taylor: Taking taylor expansion of (- kx) in kx * [misc]taylor: Taking taylor expansion of kx in kx * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- kx))) into (sin (/ -1 kx)) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 kx))) into (sqr (sin (/ -1 kx))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3)))))) (sin th)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (- (* (* 1/12 kx) (* ky kx)) (- (* (* 1/6 ky) (* ky ky)) ky))) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))))) (sin th)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))))) (sin th)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3)))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (+ (* (* kx kx) (* 1/12 ky)) (- ky (* (* ky ky) (* 1/6 ky))))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx)))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx)))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin kx)) (- (+ (* 2/45 (pow ky 6)) (sqr ky)) (* 1/3 (pow ky 4)))))))) (sin th)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (- (+ (* (pow ky 6) 2/45) (* (sin kx) (sin kx))) (- (* (pow ky 4) 1/3) (* ky ky))))) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin (/ 1 ky)))))))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (sqr (sin (/ 1 ky))) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin (/ -1 ky)))))))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (+ (sqr (sin (/ -1 ky))) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (- (+ (sqr kx) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (sqr (sin ky))))))) (sin th)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (- (+ (* (sin ky) (sin ky)) (* (pow kx 6) 2/45)) (- (* 1/3 (pow kx 4)) (sqr kx))))) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin ky))))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin ky) (sqr (sqrt (sqrt (+ (sqr (sin (/ -1 kx))) (sqr (sin ky))))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ -1 kx))) (* (sin ky) (sin ky))))) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 19 / 66 ] 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 (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (fabs 1) * [exit]simplify: Simplified to (fabs 1) * [enter]simplify: Simplifying (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 21 / 66 ] 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 (+ (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqr (sin kx))) (- (sqr (sqr (sin ky))) (* (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (sqr (sin kx))) (sqr (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (* (sin kx) (sin kx))) (sqr (sqr (sin ky))))) * [exit]simplify: Simplified to (sqrt (- (sqr (* (sin kx) (sin kx))) (sqr (sqr (sin ky))))) * [enter]simplify: Simplifying (sqrt (- (sqr (sin kx)) (sqr (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (log (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (sqr 1)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [exit]simplify: Simplified to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqr (cube (sin ky))) (* (cube (sin kx)) (cube (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (sqr (cube (sin ky))) (* (cube (sin kx)) (cube (sin kx))))) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (+ (sqr (sqr (sin kx))) (- (sqr (sqr (sin ky))) (* (sqr (sin kx)) (sqr (sin ky)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (sqrt (- (sqr (sqr (sin kx))) (sqr (sqr (sin ky))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (sin kx) (sin kx)) (sqr (sin ky))) (- (* (sin kx) (sin kx)) (sqr (sin ky))))) * [exit]simplify: Simplified to (sqrt (* (+ (* (sin kx) (sin kx)) (sqr (sin ky))) (- (* (sin kx) (sin kx)) (sqr (sin ky))))) * [enter]simplify: Simplifying (sqr (sqrt (sqrt (- (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [exit]simplify: Simplified to (sqrt (- (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos ky)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (cos ky) (cos ky)) * [exit]simplify: Simplified to (* (cos ky) (cos ky)) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 ky))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ ky ky))) * [exit]simplify: Simplified to (* 1/2 (cos (+ ky ky))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (log (* (sin ky) (sin ky))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (exp (* (sin ky) (sin ky))) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin ky) (sin ky))) * [exit]simplify: Simplified to (cbrt (* (sin ky) (sin ky))) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqr (cube (sin ky))) * [exit]simplify: Simplified to (sqr (cube (sin ky))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin ky))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin ky)) * [exit]simplify: Simplified to (fabs (sin ky)) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin ky) (sin ky)) * [exit]simplify: Simplified to (* (sin ky) (sin ky)) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos kx)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (cos kx) (cos kx)) * [exit]simplify: Simplified to (* (cos kx) (cos kx)) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 kx))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (log (* (sin kx) (sin kx))) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (exp (* (sin kx) (sin kx))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin kx) (sin kx))) * [exit]simplify: Simplified to (cbrt (* (sin kx) (sin kx))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqr (cube (sin kx))) * [exit]simplify: Simplified to (sqr (cube (sin kx))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin kx))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin kx)) * [exit]simplify: Simplified to (fabs (sin kx)) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sin kx)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin kx) (sin kx)) * [exit]simplify: Simplified to (* (sin kx) (sin kx)) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * * * [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 th +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* (/ (sin ky) (- (+ ky (* 1/12 (* (sqr kx) ky))) (* 1/6 (pow ky 3)))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (+ (* (* kx kx) (* 1/12 ky)) (- ky (* (* ky ky) (* 1/6 ky))))) * [enter]simplify: Simplifying (cbrt (/ 1 (/ (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (sqrt (+ (sqr (sin kx)) (* (sin ky) (sin ky)))))) * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin (/ 1 kx))) (sqr (sin ky))))) (sin th)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (sqr (sin (/ 1 kx))) (* (sin ky) (sin ky))))) * [enter]simplify: Simplifying (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (sqr (cube (sin kx))))) * [enter]simplify: Simplifying (sqrt (+ (sqr (sqr (sin kx))) (- (sqr (sqr (sin ky))) (* (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (sqr (sin ky)) (+ (sin kx) (sin ky))) (- (sin ky) (sin kx))) (sqr (* (sin kx) (sin kx))))) * [enter]simplify: Simplifying (* 1/2 (cos (* 2 kx))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * [exit]simplify: Simplified to (* 1/2 (cos (+ kx kx))) * [enter]simplify: Simplifying (* (sin th) (sin ky)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin ky) (sin th)) * [exit]simplify: Simplified to (* (sin ky) (sin th)) * [enter]simplify: Simplifying (sqrt (+ (+ (* 2/45 (pow ky 6)) (sqr ky)) (- (sqr (sin kx)) (* (pow ky 4) 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* ky ky) (* 2/45 (pow ky 6))) (- (sqr (sin kx)) (* (pow ky 4) 1/3)))) * [exit]simplify: Simplified to (sqrt (+ (+ (* ky ky) (* 2/45 (pow ky 6))) (- (sqr (sin kx)) (* (pow ky 4) 1/3)))) * [enter]simplify: Simplifying (* (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ 1 ky))) (sqr (sin (/ 1 kx))))))) (sin th)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (* (sin (/ 1 ky)) (sin th)) (sqrt (/ 1 (+ (sqr (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))))) * [enter]simplify: Simplifying (/ (cube (sin ky)) (cube (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (cube (sin ky)) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (/ (/ (cube (sin ky)) (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [enter]simplify: Simplifying (/ (sqrt (sin ky)) (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [enter]simplify: Simplifying (/ (cbrt (sin ky)) (cbrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (cbrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) * [enter]simplify: Simplifying (* (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (sqr (sin (/ -1 ky))) (sqr (sin (/ -1 kx))))))) (sin th)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (* (sin (/ -1 ky)) (sin th)) (sqrt (/ 1 (+ (sqr (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky))))))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (sqr (sin kx)) (sqr (sin ky))))) (sin th)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) * [enter]simplify: Simplifying (/ (sin ky) (sqrt (+ (pow (sqr (sin kx)) 3) (pow (sqr (sin ky)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (cube (* (sin kx) (sin kx)))))) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (+ (* (cube (sin ky)) (cube (sin ky))) (cube (* (sin kx) (sin kx))))))