* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in (th ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin th) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sin th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [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 (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) into 0 * [misc]backup-simplify: Simplify (* (sin th) 1) into (sin th) * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin th) 0) into (sin th) * [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 th) (sin ky)) into (* (sin th) (sin ky)) * [misc]backup-simplify: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th) * [misc]taylor: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin th) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [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 (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) into 0 * [misc]backup-simplify: Simplify (* (sin th) 1) into (sin th) * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin th) 0) into (sin th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin th) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos th) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th) * [misc]backup-simplify: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin th) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (hypot (sin kx) (sin ky)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 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) 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 (pow (sin kx) 2) * [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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) 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 (* 0 (sin ky)) 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin th) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (hypot (sin kx) (sin ky)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 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) 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 (pow (sin kx) 2) * [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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) 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 (* 0 (sin ky)) 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky) * [misc]backup-simplify: Simplify (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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]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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) 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 (+ (* (/ 1 (sin kx)) 1) (* 0 0)) 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 (+ (* -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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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 1) into 1 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (- (/ 1 (pow (sin kx) 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) 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 (+ 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 (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin ky))))) into (- (* 1/6 (sin ky))) * [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 (+ (* -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 (+ (* -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 (/ (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (sin ky))) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of 1/6 in ky * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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]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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) 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 (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx)) * [misc]backup-simplify: Simplify (* (/ 1 (sin kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx))) * [misc]backup-simplify: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx * [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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))) (* 0 (/ 1 (pow (sin kx) 2))) (* (- (/ 1 (pow (sin kx) 4))) (/ 0 (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin kx)) (- 1/6)) (+ (* 0 0) (+ (* (/ -1/2 (pow (sin kx) 3)) 1) (* 0 0)))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx * [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]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 (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 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 (+ (* 1/6 0) (* 0 1)) 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))) 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 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* (- 1/6) 1))) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (th ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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) 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) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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) 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) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 (pow (sin (/ 1 ky)) 2) 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 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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 th)) 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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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]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 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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) 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 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) in (th ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in kx * [misc]taylor: Taking taylor expansion of (- th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in ky * [misc]taylor: Taking taylor expansion of (- th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 th) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 th) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]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 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 th)) 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) 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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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]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 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 (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) 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 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sin th) (sin ky)) in (th ky) around 0 * [misc]taylor: Taking taylor expansion of (* (sin th) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [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 (* (sin th) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin th) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* 0 (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 (+ 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (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 0 into 0 * [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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (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 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 (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin ky))))) into (- (* 1/6 (sin ky))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* 1/6 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of 1/6 in ky * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (* 1/6 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (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 (* ky th)) into (* ky th) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in (th ky) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (* (sin (/ 1 th)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 th)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [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 th)) 0) (* 0 (sin (/ 1 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) 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 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) 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 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 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 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 (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) into (* (sin th) (sin ky)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in (th ky) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in ky * [misc]taylor: Taking taylor expansion of (- th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 (- th))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 th) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [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 th)) 0) (* 0 (sin (/ -1 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) 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) 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 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) 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 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 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 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 (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sin th) (sin ky)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (hypot (sin kx) (sin ky)) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (* 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 (+ (* -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 (pow 0 2) (+)) (* 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 (+ (* -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 (+ 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 (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (* -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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin kx) (sin ky)))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (sin th) (sin ky))) (log (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log (* (sin ky) (sin th))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (log (* (sin ky) (sin th))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin th) (sin th)) (sin th)) (* (* (sin ky) (sin ky)) (sin ky))) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (/ (* (pow (sin th) 3) (pow (sin ky) 3)) (pow (hypot (sin kx) (sin ky)) 3)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (/ (* (pow (sin th) 3) (pow (sin ky) 3)) (pow (hypot (sin kx) (sin ky)) 3)))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin th) (sin ky)) (* (sin th) (sin ky))) (* (sin th) (sin ky))) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) 3) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (pow (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) 3))) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))))) * [enter]simplify: Simplifying (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))))) * [enter]simplify: Simplifying (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sin th) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))) * [enter]simplify: Simplifying (/ (sin ky) (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sin ky) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (* (sin th) (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (cbrt (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (hypot (sin kx) (sin ky)) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (hypot (sin kx) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (* (sin th) (sin ky)) 1) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sin th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin th) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- th ky)) (cos (+ th ky))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- th ky)) (cos (+ ky th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (- (cos (- th ky)) (cos (+ ky th))) (* (hypot (sin kx) (sin ky)) 2))) * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- th ky)) (cos (+ th ky))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- th ky)) (cos (+ ky th))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (/ (- (cos (- th ky)) (cos (+ ky th))) 2) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (pow (* (sin ky) (sin th)) 1) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin th)) (log (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin ky)) (log (sin th))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (exp (+ (log (sin ky)) (log (sin th)))) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin th) (sin th)) (sin th)) (* (* (sin ky) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* (sin ky) (sin th)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (cbrt (pow (* (sin ky) (sin th)) 3)) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin ky)) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (* (sin th) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (* (sin th) (sqrt (sin ky))) (sqrt (sin ky))) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (* (sin th) 1) (sin ky)) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin th)) (cbrt (sin th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (sin ky))) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (sqrt (sin th)) (* (sqrt (sin th)) (sin ky))) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 (* kx (* ky th))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (* (* ky th) (* 1/6 kx)) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (* ky th) (* 1/6 kx))) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* ky th) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* ky th) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* ky th) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (* (sin th) (sin ky)) (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky)))) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) 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]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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]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 (+ (* (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]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* -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 (pow 0 2) (+)) (* 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 (pow (sin ky) 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin ky) 2))) 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 (pow (sin ky) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* 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 (+ 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 (* -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 (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))) (* (* 1/2 (/ 1 (pow (sin ky) 2))) (/ 0 (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [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)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/2 1/3) (+ (* 0 0) (* 0 1))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify 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 (* -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 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 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 0) (* 0 (sin ky)))))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (pow (/ 1/2 (sin ky)) 2) (+ (* 2 (* 0 0)))) (* 2 (sin ky))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sin ky) 2))) 1/3) (sin ky))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sin ky) 2))) 1/3) (sin ky))) (sin ky)) (+ (* 1 (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))) (* (* 1/2 (/ 1 (pow (sin ky) 2))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (+ (* 1/8 (/ 1 (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 2))))) in ky * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 2)))) in ky * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow (sin ky) 4))) in ky * [misc]taylor: Taking taylor expansion of 1/8 in ky * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 4)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 4) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin ky) 2))) in ky * [misc]taylor: Taking taylor expansion of 1/6 in ky * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (/ 1 1) into 1 * [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))) 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 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/3 1))) into -2/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -2/3 1)) (* 0 (/ 0 1)))) into 2/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -2/3 1)) (* 2/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 2/3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [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 (+ (* 1/6 (pow (* 1 kx) 2)) 1) into (+ (* 1/6 (pow kx 2)) 1) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 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 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 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 (* (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) (/ 1 (sin (/ 1 (/ 1 ky))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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]backup-simplify: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 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 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) 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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 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 (* (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) (/ 1 (sin (/ -1 (/ 1 (- ky)))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sin th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) 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 (* (sin th) 1) into (sin th) * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin th) 0) into (sin th) * [misc]backup-simplify: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sin th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (* (sin th) 1) into (sin th) * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin th) 0) into (sin th) * [misc]backup-simplify: Simplify (/ (sin th) 1) into (sin th) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 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) 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 (pow (sin kx) 2) * [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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 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) 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 (pow (sin kx) 2) * [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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (* (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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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 (* (sin ky) (sin ky)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky)) * [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 (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) 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 (* (/ 1 (sin ky)) (sin ky)) 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 (* 1 (/ (pow 0 1) 1))) 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)) (+ (* (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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 (+ (* (/ 1 (sin ky)) 0) (* 0 (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 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 (/ (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 (+ (* -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 (+ (* -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 (/ (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [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 (- (/ 0 (sin ky)) (+ (* (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/6) (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))) into (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 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 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (* (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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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 (* (sin ky) (sin ky)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky)) * [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 (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) 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 (* (/ 1 (sin ky)) (sin ky)) into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]taylor: Taking taylor expansion of -1/6 in ky * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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) 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) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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) 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) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 (pow (sin (/ 1 ky)) 2) 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 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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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]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 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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) 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 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in ky * [misc]taylor: Taking taylor expansion of (- th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in kx * [misc]taylor: Taking taylor expansion of (- th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 th) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]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 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 th) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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]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 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) 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 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (hypot (sin kx) (sin ky)) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (* 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 (+ (* -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 (pow 0 2) (+)) (* 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 (+ (* -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 (+ 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 (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (* -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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (hypot (sin kx) (sin ky))) (log (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (hypot (sin kx) (sin ky))) (log (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (exp (- (log (hypot (sin kx) (sin ky))) (log (sin ky)))))) * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))) (* (* (sin ky) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (pow (/ (hypot (sin kx) (sin ky)) (sin ky)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (cbrt (pow (/ (hypot (sin kx) (sin ky)) (sin ky)) 3)))) * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) 1) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (sqrt (hypot (sin kx) (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (sqrt (hypot (sin kx) (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))))) * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))))) * * * * [misc]progress: [ 20 / 120 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin kx) (sin ky)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin kx) (sin ky)) 1) (sin ky)))) * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin th)) (- (log (hypot (sin kx) (sin ky))) (log (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin th)) (log (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin th) (sin th)) (sin th)) (/ (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))) (* (* (sin ky) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) 3) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (pow (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) 3))) * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (hypot (sin kx) (sin ky)) (sin ky)) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) 3) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (pow (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) 3))) * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * [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 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin th)))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sin ky) (cbrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin th)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sin ky) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (cbrt (sin th))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (sin ky) (cbrt (sin th))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (cbrt (sin th))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (sin ky) (cbrt (sin th))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin kx) (sin ky))) (/ (cbrt (sin th)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sin ky) (cbrt (sin th))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin kx) (sin ky))) (* (sin ky) (cbrt (sin th))))) * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sqrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sin ky) (sqrt (sin th))) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin th)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sin ky) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (sin th)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (sin ky))) (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (sin ky))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sqrt (sin th))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin th)) (/ (* (sin ky) (sqrt (sin th))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sqrt (sin th))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin th)) (/ (* (sin ky) (sqrt (sin th))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) (/ (sqrt (sin th)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sin ky) (sqrt (sin th))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) (* (sin ky) (sqrt (sin th))))) * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (/ (sin th) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sin th) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (/ (sin th) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin th) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (sin th)) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (sin th)) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (/ (sin th) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sin th)) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin ky)) (sin th)) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (/ 1 (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (/ 1 (cbrt (hypot (sin kx) (sin ky))))) (/ (sin th) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1)) (/ (* (sin ky) (sin th)) (cbrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (* (sin th) (cbrt (sin ky))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (* (sin th) (sqrt (sin ky))) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 79 / 120 ] 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 * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* 1 (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* 1 (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 80 / 120 ] 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 * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* 1 (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* 1 (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (hypot (sin kx) (sin ky))) (/ (sin th) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (sin ky) (sin th)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (hypot (sin kx) (sin ky))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1)) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))))) * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ 1 (sqrt (sin ky)))) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))))) * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ 1 1)) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) 1) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin ky)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (sin ky)))) * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin th)) (cbrt (sin th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (/ (hypot (sin kx) (sin ky)) (sin ky)) (cbrt (sin th))))) * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (sqrt (sin th)) (/ (/ (hypot (sin kx) (sin ky)) (sin ky)) (sqrt (sin th))))) * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky))) * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (pow kx 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (fma 1/6 (* kx kx) 1) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (fma 1/6 (* kx kx) 1))) * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (kx ky th) 0) * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky)) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky)) (sin ky)))) * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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 (* (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [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) 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (pow (sin ky) 2)))) 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]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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]backup-simplify: Simplify (* 0 0) into 0 * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) into (sin kx) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) 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]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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]backup-simplify: Simplify (* 0 0) into 0 * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) into (sin kx) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) 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]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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)))) 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 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 (* 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 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 (+ (* -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sin kx)) 1) (+ (* (sin kx) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) in kx * [misc]taylor: Taking taylor expansion of (* 1/6 (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 (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 (* 1/2 (/ 1 (sin kx))) 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 (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 (* 1/6 0) into 0 * [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 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 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 (/ (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 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 (+ 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 (+ 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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) (/ 0 1)))) 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 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) 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 (/ (- 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 (+ 1/6 1/12) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [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 kx 3) (/ 1 ky))) (+ (* 1/4 (* kx ky)) (* 1 (* kx (/ 1 ky))))) into (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky))) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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) 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 (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 (pow (sin (/ 1 ky)) 2) 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 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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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 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 (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) 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 (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) 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 (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (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 (* -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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) 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 (* (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) (/ 1 (sin (/ 1 (/ 1 ky))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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 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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]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 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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]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 (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) 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 (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (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 (+ (* -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 (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) 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 (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 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 (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (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 (* -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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) 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 (* (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) (/ 1 (sin (/ -1 (/ 1 (- ky)))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) in (th ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (sin th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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 (* (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [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) 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (pow (sin ky) 2)))) 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 (* (sin th) 1) into (sin th) * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin th) 0) into (sin th) * [misc]backup-simplify: Simplify (/ (sin th) 1) into (sin th) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (sin th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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]backup-simplify: Simplify (* 0 0) into 0 * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) into (sin kx) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) 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 (* (sin th) 1) into (sin th) * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin th) 0) into (sin th) * [misc]backup-simplify: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th * [misc]taylor: Taking taylor expansion of (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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]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) 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 (pow (sin ky) 2) * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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) 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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th * [misc]taylor: Taking taylor expansion of (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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]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) 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 (pow (sin ky) 2) * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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) 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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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]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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) 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 (+ (* (/ 1 (sin kx)) 1) (* 0 0)) 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) 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)) (+ (* (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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 1) into 1 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (- (/ 1 (pow (sin kx) 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) 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 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 (/ (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 (/ (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 (+ (* -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 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [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 (- (/ 0 (sin ky)) (+ (* (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/6) (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))) into (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of 1/6 in ky * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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]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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) 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 (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx)) * [misc]backup-simplify: Simplify (* (/ 1 (sin kx)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx))) * [misc]backup-simplify: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx * [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 (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))) (* 0 (/ 1 (pow (sin kx) 2))) (* (- (/ 1 (pow (sin kx) 4))) (/ 0 (pow (sin kx) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin kx)) (- 1/6)) (+ (* 0 0) (+ (* (/ -1/2 (pow (sin kx) 3)) 1) (* 0 0)))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx * [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]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 (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 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 (+ (* 1/6 0) (* 0 1)) 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))) 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 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* (- 1/6) 1))) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) in (th ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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) 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 (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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)) 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)) 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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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) 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) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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)) 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)) 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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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) 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) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 (pow (sin (/ 1 ky)) 2) 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 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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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]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 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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) 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 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) in (th ky kx) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in kx * [misc]taylor: Taking taylor expansion of (- th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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 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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in ky * [misc]taylor: Taking taylor expansion of (- th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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]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)) 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 (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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]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)) 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 (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 th) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 th) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]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 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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 (+ (* -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 (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 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]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 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 (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) 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 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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 (* (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [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) 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (pow (sin ky) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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]backup-simplify: Simplify (* 0 0) into 0 * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) into (sin kx) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky * [misc]taylor: Taking taylor expansion of (* (sin ky) (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 (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 (* (sin kx) (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 (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]backup-simplify: Simplify (* 0 0) into 0 * [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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) into (sin kx) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0 * [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 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 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 (* 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 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 (+ (* -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sin kx)) 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 (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 (/ 1/2 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 (+ (* -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 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (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 (- (/ 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 (* kx 1) 3)) (+ (* 1/12 (* kx (pow ky 2))) (* 1 (* kx 1)))) into (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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) 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 (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 ky)) (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 (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 (* (sin (/ 1 kx)) (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 (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 (pow (sin (/ 1 ky)) 2) * [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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 (pow (sin (/ 1 ky)) 2) 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 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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (* -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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in (ky kx) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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 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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- ky))) (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 (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 (* (sin (/ 1 (- kx))) (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 (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]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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) 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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]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 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 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) 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 (+ (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (* -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 (+ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (hypot (sin ky) (sin kx))) (log (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (hypot (sin ky) (sin kx))) (log (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (exp (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))) * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (cbrt (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 3)))) * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))) * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) 1) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (sqrt (hypot (sin ky) (sin kx))) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (sqrt (hypot (sin ky) (sin kx))) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))) * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))) * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))) * * * * [misc]progress: [ 20 / 120 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) 1) (sin ky)))) * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))) * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot (sin ky) (sin kx))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))) * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin th)) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin th)) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin th) (sin th)) (sin th)) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) 3) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (pow (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) 3))) * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) 3) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (pow (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) 3))) * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * [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 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx))))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin th)))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx))))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (sin ky) (cbrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin th)) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin th)) (cbrt (sin th)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) (/ (* (sin ky) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin ky) (/ (cbrt (sin th)) (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (sin ky) (/ (cbrt (sin th)) (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin ky) (/ (cbrt (sin th)) (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (sin ky) (/ (cbrt (sin th)) (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx))) (/ (cbrt (sin th)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sin ky) (cbrt (sin th))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx))) (* (sin ky) (cbrt (sin th))))) * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sqrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (sin ky) (sqrt (sin th))) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin th)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sqrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) (/ (* (sin ky) (sqrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (sin th)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (sin ky))) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (sin ky))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin ky) (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin th)) (* (sin ky) (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin ky) (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin th)) (* (sin ky) (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) (/ (sqrt (sin th)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sin ky) (sqrt (sin th))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) (* (sin ky) (sqrt (sin th))))) * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (sin th)) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin ky)) (sin th)) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sin th)) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (sqrt (sin ky)) (sin th)) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (/ 1 (cbrt (hypot (sin ky) (sin kx))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (/ 1 (cbrt (hypot (sin ky) (sin kx))))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (cbrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (* (sin ky) (sin th)) (cbrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (sqrt (hypot (sin ky) (sin kx)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (* (sin ky) (sin th)) (sqrt (hypot (sin ky) (sin kx)))))) * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (* (sin th) (cbrt (sin ky))) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (* (sin th) (sqrt (sin ky))) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 79 / 120 ] 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 * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* 1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* 1 (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 80 / 120 ] 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 * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* 1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* 1 (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))) * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (hypot (sin ky) (sin kx))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 (hypot (sin ky) (sin kx))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (hypot (sin ky) (sin kx))) (/ (sin th) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (sin th) (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (sin ky) (sin th)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (hypot (sin ky) (sin kx))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))) * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))) * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))) * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))) * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))) * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ 1 (sqrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))) * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ 1 1)) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin ky) (sin kx)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin ky) (sin kx)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin ky)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (hypot (sin ky) (sin kx))) (/ 1 (sin ky)))) * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin th)) (cbrt (sin th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt (sin th))))) * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (sqrt (sin th)) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th))))) * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))) * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (fma (* -1/6 (* kx kx)) (/ kx ky) (fma (* 1/4 kx) ky (/ kx ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (fma (* -1/6 (* kx kx)) (/ kx ky) (fma (* 1/4 kx) ky (/ kx ky))))) * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 (* kx (* ky th))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (* (* ky th) (* 1/6 kx)) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (* ky th) (* 1/6 kx))) * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (fma 1/12 (* kx (* ky ky)) (fma (* -1/6 kx) (* kx kx) kx)) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (fma 1/12 (* kx (* ky ky)) (fma (* -1/6 kx) (* kx kx) kx)) (sin ky)))) * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) 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 (/ (hypot (sin kx) (sin ky)) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (/ (hypot (sin kx) (sin ky)) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (* 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 (+ (* -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 (pow 0 2) (+)) (* 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 (pow (sin ky) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow (sin ky) 2))) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow (sin ky) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (sin ky) 2)))) in ky * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin ky) 2))) 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 (pow (sin ky) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (/ 1 1) into 1 * [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))) 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 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) 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 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 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 (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 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 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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 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 (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 -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]backup-simplify: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 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 (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 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 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 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 (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) 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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 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 (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) 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]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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]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 (+ (* (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]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* -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 (pow 0 2) (+)) (* 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 (pow (sin ky) 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin ky) 2))) 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 (pow (sin ky) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* 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 (+ 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 (* -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 (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))) (* (* 1/2 (/ 1 (pow (sin ky) 2))) (/ 0 (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [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)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/2 1/3) (+ (* 0 0) (* 0 1))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify 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 (* -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 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 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 0) (* 0 (sin ky)))))) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (pow (/ 1/2 (sin ky)) 2) (+ (* 2 (* 0 0)))) (* 2 (sin ky))) into (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sin ky) 2))) 1/3) (sin ky))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/2 (/ (+ (* 1/4 (/ 1 (pow (sin ky) 2))) 1/3) (sin ky))) (sin ky)) (+ (* 1 (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))) (* (* 1/2 (/ 1 (pow (sin ky) 2))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (+ (* 1/8 (/ 1 (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 2))))) in ky * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (sin ky) 4))) (* 1/6 (/ 1 (pow (sin ky) 2)))) in ky * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (pow (sin ky) 4))) in ky * [misc]taylor: Taking taylor expansion of 1/8 in ky * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 4)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 4) 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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin ky) 2))) in ky * [misc]taylor: Taking taylor expansion of 1/6 in ky * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (/ 1 1) into 1 * [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))) 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 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/3 1))) into -2/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -2/3 1)) (* 0 (/ 0 1)))) into 2/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -2/3 1)) (* 2/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 2/3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (* 0 1)))) into 0 * [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 (+ (* 1/6 (pow (* 1 kx) 2)) 1) into (+ (* 1/6 (pow kx 2)) 1) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 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 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 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 (* (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) (/ 1 (sin (/ 1 (/ 1 ky))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (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]backup-simplify: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 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 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) 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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 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 (* (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) (/ 1 (sin (/ -1 (/ 1 (- ky)))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (sin th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) 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 (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) in kx * [misc]taylor: Taking taylor expansion of (sin th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 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) 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 (pow (sin kx) 2) * [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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) in th * [misc]taylor: Taking taylor expansion of (sin th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (/ (hypot (sin kx) (sin ky)) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (* (sin kx) (sin kx)) in th * [misc]taylor: Taking taylor expansion of (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin ky) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 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) 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 (pow (sin kx) 2) * [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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]backup-simplify: Simplify (* 0 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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)) (+ (* (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin ky) 2) 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 (* (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]taylor: Taking taylor expansion of (pow (sin kx) 2) 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 (* (sin ky) (sin ky)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky)) * [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 (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) 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 (* (/ 1 (sin ky)) (sin ky)) 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]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 (+ (* -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 (+ (* -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 (+ (* -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 (/ (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0 * [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 (- (/ 0 (sin ky)) (+ (* (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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 (+ (* (/ 1 (sin ky)) 0) (* 0 (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 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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) 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) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 kx)) in th * [misc]taylor: Taking taylor expansion of (/ 1 kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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) 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) 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 ky)) in th * [misc]taylor: Taking taylor expansion of (/ 1 ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ 1 th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 (pow (sin (/ 1 ky)) 2) 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 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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ 1 th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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]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 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 (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) 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 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in ky * [misc]taylor: Taking taylor expansion of (- th) in ky * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in kx * [misc]taylor: Taking taylor expansion of (- th) in kx * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (/ (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (sin (/ 1 (- kx))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- kx)) in th * [misc]taylor: Taking taylor expansion of (- kx) in th * [misc]taylor: Taking taylor expansion of kx in th * [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 (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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)) 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)) 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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ 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) 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- ky))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- ky)) in th * [misc]taylor: Taking taylor expansion of (- ky) in th * [misc]taylor: Taking taylor expansion of ky in th * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in kx * [misc]taylor: Taking taylor expansion of (/ -1 th) in kx * [misc]taylor: Taking taylor expansion of -1 in kx * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in kx * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]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 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sin (/ -1 th)) in ky * [misc]taylor: Taking taylor expansion of (/ -1 th) in ky * [misc]taylor: Taking taylor expansion of -1 in ky * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in ky * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [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 (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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 (+ 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 (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* -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 (+ (* -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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in kx * [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]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 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) 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 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (hypot (sin kx) (sin ky)) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin kx) 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin kx) 2)) 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 (+ 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 (+ (* 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 (pow (sin kx) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (* (sin kx) (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 (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 (* (sin ky) (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 (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) 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 (pow (sin ky) 2) * [misc]backup-simplify: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2) * [misc]backup-simplify: Simplify (sqrt (pow (sin ky) 2)) into (sin ky) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [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 (+ 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 (pow (sin ky) 2)))) 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 (* 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 (+ (* -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 (pow 0 2) (+)) (* 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 (+ (* -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 (+ 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 (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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)) 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 (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 kx)) (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 (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 (* (sin (/ 1 ky)) (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 (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 (pow (sin (/ 1 kx)) 2) * [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)) 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 (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) 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)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ 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 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * [misc]approximate: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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)) 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 (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Rewrote expression to (sqrt (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky)))))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- kx))) (sin (/ 1 (- kx)))) (* (sin (/ 1 (- ky))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- kx))) (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 (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 (* (sin (/ 1 (- ky))) (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 (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 (pow (sin (/ -1 kx)) 2) * [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)) 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 (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky * [misc]taylor: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) 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 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]taylor: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) 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]backup-simplify: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2) * [misc]backup-simplify: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* (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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [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 (+ (* -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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (* -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 (+ (* (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 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ 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 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin kx) (sin ky)) (sin ky)) -1))) * * * * [misc]progress: [ 5 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 18 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 19 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 20 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 21 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1)) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 22 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 23 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 24 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 25 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))))) * * * * [misc]progress: [ 26 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 (sqrt (sin ky)))) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))))) * * * * [misc]progress: [ 27 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 1)) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 28 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 1) (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 29 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin ky)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ (/ 1 (hypot (sin kx) (sin ky))) (/ 1 (sin ky))))) * * * * [misc]progress: [ 30 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 31 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (hypot (sin kx) (sin ky))) (log (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (hypot (sin kx) (sin ky))) (log (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (exp (- (log (hypot (sin kx) (sin ky))) (log (sin ky))))))) * * * * [misc]progress: [ 35 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))) (* (* (sin ky) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (pow (/ (hypot (sin kx) (sin ky)) (sin ky)) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (cbrt (pow (/ (hypot (sin kx) (sin ky)) (sin ky)) 3))))) * * * * [misc]progress: [ 38 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (* (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))))) * * * * [misc]progress: [ 43 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))))) * * * * [misc]progress: [ 44 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 45 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))))) * * * * [misc]progress: [ 46 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))))) * * * * [misc]progress: [ 47 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) 1) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (hypot (sin kx) (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (hypot (sin kx) (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 48 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))))))) * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))))))) * * * * [misc]progress: [ 49 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))))))) * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))))))) * * * * [misc]progress: [ 50 / 106 ] 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 * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (* 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (* 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 51 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin ky)) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin kx) (sin ky)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 55 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin ky)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 56 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin kx) (sin ky)) 1) (sin ky))))) * * * * [misc]progress: [ 57 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 58 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (hypot (sin kx) (sin ky))) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 59 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (pow (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) 1)) * * * * [misc]progress: [ 63 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin th)) (- (- (log (hypot (sin kx) (sin ky))) (log (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 65 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin th)) (- (log (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin ky)) (log (sin th))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 66 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin th)) (log (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (+ (log (sin th)) (log (sin ky))) (log (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 67 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (* (pow (sin ky) 3) (pow (sin th) 3)) (pow (hypot (sin kx) (sin ky)) 3)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (/ (* (pow (sin ky) 3) (pow (sin th) 3)) (pow (hypot (sin kx) (sin ky)) 3)))) * * * * [misc]progress: [ 70 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 75 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sin th) (* (cbrt (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 76 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sin th) (sqrt (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 77 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sin ky) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 78 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sin ky) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 79 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sin ky) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin ky) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin kx) (sin ky)))) (sin ky))) * * * * [misc]progress: [ 80 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin th)) (cbrt (sin th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin th)) (cbrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 81 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))) * * * * [misc]progress: [ 82 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (hypot (sin kx) (sin ky)) (sin ky)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (* (sin th) 1) (/ (hypot (sin kx) (sin ky)) (sin ky)))) * * * * [misc]progress: [ 84 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 106 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sin th) 0)) * * * * [misc]progress: [ 96 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sin th) (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))) * * * * [misc]progress: [ 97 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sin th) (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))) * * * * [misc]progress: [ 98 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (pow kx 2)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (fma 1/6 (* kx kx) 1) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (fma 1/6 (* kx kx) 1)))) * * * * [misc]progress: [ 99 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 100 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (hypot (sin kx) (sin ky)) (sin ky)) * [misc]simplify: Simplified (2 2 2) to (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 101 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (kx ky th) 0) * * * * [misc]progress: [ 102 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 103 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th))) * [misc]simplify: Simplified (2) to (λ (kx ky th) (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))) * * * * [misc]progress: [ 104 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky)) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (/ (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky)) (sin ky))))) * * * * [misc]progress: [ 105 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * * * [misc]progress: [ 106 / 106 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (hypot (sin ky) (sin kx)) * [misc]simplify: Simplified (2 2 2 1) to (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # #) * * * [misc]regime-changes: Trying 6 branch expressions: (th (sin th) kx (sin kx) ky (sin ky)) * * * * [misc]regimes: Trying to branch on th from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (sin th) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on kx from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (sin kx) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on ky from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (sin ky) from (# # # # # # #) * * * [misc]regime: Found split indices: #