* [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) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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: [ 2 / 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: [ 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 (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: [ 5 / 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: [ 6 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 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: [ 9 / 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: [ 10 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 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: [ 15 / 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: [ 16 / 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: [ 17 / 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: [ 18 / 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: [ 19 / 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: [ 20 / 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: [ 21 / 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: [ 22 / 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: [ 23 / 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: [ 24 / 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: [ 25 / 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: [ 26 / 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: [ 27 / 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: [ 28 / 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: [ 29 / 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: [ 30 / 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: [ 31 / 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: [ 32 / 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: [ 33 / 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: [ 34 / 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: [ 35 / 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: [ 36 / 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: [ 37 / 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: [ 38 / 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: [ 39 / 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: [ 40 / 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: [ 41 / 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: [ 42 / 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: [ 43 / 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: [ 44 / 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: [ 45 / 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: [ 46 / 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: [ 47 / 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: [ 48 / 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: [ 49 / 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: [ 50 / 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: [ 51 / 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: [ 52 / 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: [ 53 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 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: [ 57 / 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: [ 58 / 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: [ 59 / 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: [ 60 / 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: [ 61 / 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: [ 62 / 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: [ 63 / 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: [ 64 / 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: [ 65 / 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: [ 66 / 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: [ 67 / 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: [ 68 / 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: [ 69 / 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: [ 70 / 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: [ 71 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 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: [ 73 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 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: [ 77 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 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: [ 80 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 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: [ 85 / 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: [ 86 / 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: [ 87 / 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: [ 88 / 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: [ 89 / 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: [ 90 / 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: [ 91 / 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: [ 92 / 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: [ 93 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 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: [ 97 / 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: [ 98 / 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: [ 99 / 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: [ 100 / 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: [ 101 / 120 ] simplifiying candidate # * * * * [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 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: [ 113 / 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: [ 114 / 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: [ 115 / 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: [ 116 / 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: [ 117 / 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: [ 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) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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) (hypot (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 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) (sin kx)) into (/ (sin th) (sin kx)) * [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) (hypot (sin kx) (sin ky))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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 th) (sin ky)) into (/ (sin th) (sin 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 th) (hypot (sin kx) (sin ky))) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) * [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) (hypot (sin kx) (sin ky))) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) * [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 (/ 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 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 (* 1 (/ (pow 0 1) 1))) 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)))) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) 0) (* 0 (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 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 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 (- (/ (- 1/6) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (/ 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)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) 0) (+ (* 0 0) (* (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) (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 -1/6 into -1/6 * [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 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow (sin ky) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin ky)))) into (/ -1/2 (pow (sin ky) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sin ky)) 0) (+ (* 0 0) (* (/ -1/2 (pow (sin ky) 3)) (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 (/ 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 (+ (* -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 (- 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 1)))) into 0 * [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 -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (* 1 (* (pow kx 2) th))) (+ (* -1/6 (pow (* 1 (* 1 th)) 3)) (* 1 (* 1 (* 1 th))))) into (- th (+ (* 1/6 (pow th 3)) (* 1/6 (* (pow kx 2) th)))) * [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)) (hypot (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 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)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (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 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 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (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 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 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (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 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 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [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)) (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 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (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]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 0) (* 0 (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 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 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)) (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]backup-simplify: Simplify (+ (* (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 0) (+ (* 0 0) (* 0 (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))) (hypot (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 (- 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)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (hypot (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 (- 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 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (hypot (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 (- 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 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (hypot (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 (- 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 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [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)) (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 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (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]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 0) (* 0 (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 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 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)) (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]backup-simplify: Simplify (+ (* (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 0) (+ (* 0 0) (* 0 (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: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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) (sin kx)) into (/ (sin th) (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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 th) (sin ky)) into (/ (sin th) (sin ky)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) * [misc]taylor: Taking taylor expansion of (/ (sin th) (hypot (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 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) * [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 (/ 1 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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)))) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) 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 (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -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) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (/ 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)))))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) in kx * [misc]taylor: Taking taylor expansion of (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) 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)))) 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]backup-simplify: Simplify (* 1/6 (/ 1 (sin ky))) into (/ 1/6 (sin ky)) * [misc]backup-simplify: Simplify (- (/ 1/6 (sin ky))) into (- (* 1/6 (/ 1 (sin ky)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (/ 1 (sin ky)))) in ky * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (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 (/ 1 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 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 ky * [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 (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow (sin ky) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin ky)))) into (/ -1/2 (pow (sin ky) 3)) * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) 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 (pow (sin ky) 3) 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 (/ -1/2 1) into -1/2 * [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 (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* (- 1/6) 1))) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into -1/4 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ -1/2 1)) (* -1/4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 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 (* ky (* 1 th))) into (* 1/6 (* ky th)) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (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)))) 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))) 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)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (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)))) 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))) 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 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (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)))) 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))) 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 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (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)))) 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))) 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 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (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 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 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 (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)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (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 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 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 (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 (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 (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (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 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 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 (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))) (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)) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (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))))) 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)))) 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)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (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))))) 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)))) 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 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (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))))) 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)))) 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 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (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))))) 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)))) 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 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (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 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 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 (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)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (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 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 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 (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 (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 (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (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 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 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 (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)))) (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)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 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 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (pow (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) 1)) * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (82 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: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sin th) (hypot (sin kx) (sin ky)))) (log (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (56 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: [ 7 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (431 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: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (* (sin ky) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (212 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: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] 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) to (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky)))) * * * * [misc]progress: [ 16 / 80 ] 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) to (λ (kx ky th) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))) (sqrt (sin ky)))) * * * * [misc]progress: [ 17 / 80 ] 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))) 1) (sin ky))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (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) (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 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)))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 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)))) * * * * [misc]progress: [ 22 / 80 ] 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)))) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 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)))) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (10 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)))) * * * * [misc]progress: [ 25 / 80 ] 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)))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) (* (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 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)))) * * * * [misc]progress: [ 28 / 80 ] 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)))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 80 ] 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) (* (/ 1 (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 31 / 80 ] 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: [ 32 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (log (sin th)) (log (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (* (exp (- (log (sin th)) (log (hypot (sin kx) (sin ky))))) (sin ky))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] 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)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (pow (/ (sin th) (hypot (sin kx) (sin ky))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (* (cbrt (pow (/ (sin th) (hypot (sin kx) (sin ky))) 3)) (sin ky))) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 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 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)))) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 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 th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 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)))) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) 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))) * * * * [misc]progress: [ 46 / 80 ] 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 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))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (* (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))) (sin ky))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 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 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)))) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) 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))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 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)))) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) 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))) * * * * [misc]progress: [ 49 / 80 ] 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 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))) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))) (sin ky))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (* (* (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (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)))) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (* (* (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (hypot (sin kx) (sin ky))))) (sin ky))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 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)))) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (* (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sin ky))) * * * * [misc]progress: [ 52 / 80 ] 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 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))) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin th) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (* (* 1 (/ (sin th) (hypot (sin kx) (sin ky)))) (sin ky))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 80 ] 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 1 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: [ 57 / 80 ] 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 1 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * * * [misc]progress: [ 58 / 80 ] 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 1 2) to (λ (kx ky th) (* (/ (/ (sin th) 1) (hypot (sin kx) (sin ky))) (sin ky))) * * * * [misc]progress: [ 59 / 80 ] 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))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin th)))) (sin ky))) * * * * [misc]progress: [ 60 / 80 ] 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)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin th)))) (sin ky))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- th (+ (* 1/6 (pow th 3)) (* 1/6 (* (pow kx 2) th)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (fma (fma kx kx (* th th)) (* th -1/6) th) * [misc]simplify: Simplified (2) to (λ (kx ky th) (fma (fma kx kx (* th th)) (* th -1/6) th)) * * * * [misc]progress: [ 73 / 80 ] 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: [ 74 / 80 ] 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: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 (* ky th)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* th ky) 1/6) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* th ky) 1/6) (sin ky))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))) (sin ky))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))) (sin ky))) * * * * [misc]progress: [ 78 / 80 ] 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 1 2) to (λ (kx ky th) (* (/ (sin th) (fma 1/12 (* (* kx ky) kx) (fma (* ky ky) (* -1/6 ky) ky))) (sin ky))) * * * * [misc]progress: [ 79 / 80 ] 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 1 2) to (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))) * * * * [misc]progress: [ 80 / 80 ] 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 1 2) 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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin kx)) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin kx)))) into 0 * [misc]taylor: Taking taylor expansion of 1 in ky * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (sin kx)) 1) into (sqrt (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) (sqrt (sin kx))) into (* (sqrt (/ 1 (sin kx))) (sin th)) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of 1 in kx * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (sin ky)) 1) into (sqrt (sin ky)) * [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) (sqrt (sin ky))) into (* (sin th) (sqrt (/ 1 (sin ky)))) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) 1) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) into (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) 1) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) into (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) in kx * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) in kx * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) in kx * [misc]taylor: Taking taylor expansion of 1/4 in kx * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 (pow (sin ky) 2))) into (log (/ 1 (pow (sin ky) 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (pow (sin ky) 2)))) into (* 1/4 (log (/ 1 (pow (sin ky) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (pow (sin ky) 2))))) into (pow (/ 1 (pow (sin ky) 2)) 1/4) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (sin ky) 2)) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (sin ky) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (sin ky) 2)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (sin ky) 2))) in ky * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log ky)) 0) into (- (* 2 (log ky))) * [misc]backup-simplify: Simplify (* 1/4 (- (* 2 (log ky)))) into (* -1/2 (log ky)) * [misc]backup-simplify: Simplify (exp (* -1/2 (log ky))) into (pow ky -1/2) * [misc]backup-simplify: Simplify (pow ky -1/2) into (pow ky -1/2) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) (+ (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))))) 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 (+ (* (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sin ky) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow (sin ky) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (pow (sin ky) 2))))) (+ (* (/ (pow 0 1) 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 (* 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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log ky)) 0) into (- (* 2 (log ky))) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log ky))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (log ky))) (+ (* (/ (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 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/6) (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) (+ (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))) (* 0 (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))))) into (- (* 1/6 (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4))) in kx * [misc]taylor: Taking taylor expansion of (* 1/6 (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4)) 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 (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) in kx * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) in kx * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) in kx * [misc]taylor: Taking taylor expansion of 1/4 in kx * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 (pow (sin ky) 2))) into (log (/ 1 (pow (sin ky) 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (pow (sin ky) 2)))) into (* 1/4 (log (/ 1 (pow (sin ky) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (pow (sin ky) 2))))) into (pow (/ 1 (pow (sin ky) 2)) 1/4) * [misc]backup-simplify: Simplify (* 1/6 (pow (/ 1 (pow (sin ky) 2)) 1/4)) into (* 1/6 (sqrt (/ 1 (sin ky)))) * [misc]backup-simplify: Simplify (- (* 1/6 (sqrt (/ 1 (sin ky))))) into (- (* 1/6 (sqrt (/ 1 (sin ky))))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sqrt (/ 1 (sin ky))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/6 (sqrt (/ 1 (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 (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/6 +nan.0) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 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 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 4))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sin ky) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow (sin ky) 4)))) 1)) (pow (/ 1 (pow (sin ky) 2)) 1)))) 2) into (/ -1 (pow (sin ky) 2)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -1 (pow (sin ky) 2))) (+ (* 0 0) (* 0 (log (/ 1 (pow (sin ky) 2)))))) into (- (* 1/4 (/ 1 (pow (sin ky) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (pow (sin ky) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow (sin ky) 2)))) 1) 1)))) into (* -1/4 (sqrt (/ 1 (pow (sin ky) 5)))) * [misc]taylor: Taking taylor expansion of (* -1/4 (sqrt (/ 1 (pow (sin ky) 5)))) in ky * [misc]taylor: Taking taylor expansion of -1/4 in ky * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow (sin ky) 5))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 5)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 5) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 (- 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 -1/3) (+ (* 0 0) (* -1/3 1))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -2/3) (+ (* 0 0) (* (- 1/6) 1))) into -5/6 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -5/6 1)) (* 0 (/ 0 1)))) into 5/6 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (/ (- 5/6 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* -1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* 1 (* (pow kx 2) th))) (+ (* (- +nan.0) (pow (* 1 (* 1 th)) 3)) (* (pow ky -1/2) (* 1 (* 1 th))))) into (- (* (sqrt (/ 1 ky)) th) (+ (* +nan.0 (pow th 3)) (- (* +nan.0 (* (pow kx 2) th))))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in ky * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in kx * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) 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 (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4) in kx * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of 1/4 in kx * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4) * [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)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) 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 (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4) * [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)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) (+ (* (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))))) 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 (+ (* (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) (+ (* (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) (* 0 (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 th))) (pow (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) 1/4)) into (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (sin th)) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in ky * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in kx * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) 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 (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4) in kx * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx * [misc]taylor: Taking taylor expansion of 1/4 in kx * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4) * [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)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) 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 (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4) * [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)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) (+ (* (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))))) 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 (+ (* (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) (+ (* (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) (* 0 (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- th)))) (pow (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) 1/4)) into (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (sin th)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) in (th kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin kx)) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin kx)))) into 0 * [misc]taylor: Taking taylor expansion of 1 in ky * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (sin kx)) 1) into (sqrt (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) (sqrt (sin kx))) into (* (sqrt (/ 1 (sin kx))) (sin th)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin kx)) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin kx)))) into 0 * [misc]taylor: Taking taylor expansion of (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 (/ (sqrt (sin kx)) 1) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sin kx))) (sin th)) (sqrt (sin kx))) into (/ (sin th) (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) in kx * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of 1 in kx * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (sin ky)) 1) into (sqrt (sin ky)) * [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) (sqrt (sin ky))) into (* (sin th) (sqrt (/ 1 (sin ky)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of (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 (/ (sqrt (sin ky)) (sin ky)) into (sqrt (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (/ (* (sin th) (sqrt (/ 1 (sin ky)))) (sqrt (/ 1 (sin ky)))) into (sin th) * [misc]taylor: Taking taylor expansion of (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) 1) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) into (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (sin ky)) into (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) in th * [misc]taylor: Taking taylor expansion of (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) 1) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) into (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (sin ky)) into (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 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 1) (+ (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) (+ (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))))) 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)) (+ (* (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/6) (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4)) (+ (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))) (* 0 (/ 0 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))))) into (- (* 1/6 (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4))) * [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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4))) 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)) (+ (* (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4))) (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))))) (* 0 (/ 0 (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 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)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) (/ (sqrt (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)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in ky * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky)))) in kx * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in kx * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky)))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 th)) (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ 1 th)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) into (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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 1) (+ (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) (+ (* (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))))) 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 (sin (/ 1 ky))) (+ (* (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky))))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4)) (+ (* (* (sin (/ 1 th)) (pow (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) (* 0 (/ 0 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))))) 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 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) 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))) (+ (* (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky))))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))))) (* 0 (/ 0 (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) (/ (sqrt (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))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky))))) in ky * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in ky * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky))))) in kx * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in kx * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [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)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky))))) in th * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- th))) (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1)) 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 (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) 1) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 1) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ (sin (/ -1 th)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) into (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (/ (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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 1) (+ (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) (+ (* (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))))) 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 (sin (/ -1 ky))) (+ (* (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky))))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4)) (+ (* (* (sin (/ -1 th)) (pow (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/4)) (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) (* 0 (/ 0 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))))) 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 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) 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))) (+ (* (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky))))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))))) (* 0 (/ 0 (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin kx)) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin kx)))) into 0 * [misc]taylor: Taking taylor expansion of (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 (/ (sqrt (sin kx)) 1) into (sqrt (sin kx)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of (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 (/ (sqrt (sin ky)) (sin ky)) into (sqrt (/ 1 (sin ky))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of (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 (/ (sqrt (sin ky)) (sin ky)) into (sqrt (/ 1 (sin ky))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sin ky))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 (/ 1 (sin ky))) (/ 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 +nan.0 into +nan.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 (/ (- (/ 1/2 (sin ky)) (pow 0 2) (+)) (* 2 (sqrt (sin ky)))) into (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) * [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 (- (/ (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) (sin ky)) (+ (* (sqrt (/ 1 (sin ky))) (/ 0 (sin ky))) (* 0 (/ 0 (sin ky))))) into (* 1/4 (sqrt (/ 1 (pow (sin ky) 5)))) * [misc]taylor: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow (sin ky) 5)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow (sin ky) 5))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 5)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 5) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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) (* 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 (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* ky 1)) (+ (* (- +nan.0) (* (/ 1 ky) (pow kx 2))) +nan.0)) into (- (+ (* +nan.0 (/ (pow kx 2) ky)) (- (+ (* +nan.0 ky) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) (sin (/ 1 ky))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (sin (/ 1 ky))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]taylor: Taking taylor expansion of (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [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 (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) * [misc]backup-simplify: Simplify (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 1 (sin (/ 1 ky)))) into (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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))) (+ (* (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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 (+ 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 (* 1 0) 1)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) 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))) (+ (* (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) 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))) (+ (* (* (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) (/ 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 (* (pow (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)) 1/4) (/ 1 (sin (/ 1 (/ 1 ky))))) into (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in ky * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) (sin (/ 1 (- ky)))) in kx * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (/ (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (sin (/ -1 ky))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]taylor: Taking taylor expansion of (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) in ky * [misc]taylor: Taking taylor expansion of (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [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 (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) * [misc]backup-simplify: Simplify (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 1 (sin (/ -1 ky)))) into (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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))) (+ (* (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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 (+ 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 (* 1 0) 1)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) 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))) (+ (* (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) 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))) (+ (* (* (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) (/ 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 (* (pow (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)) 1/4) (/ 1 (sin (/ -1 (/ 1 (- ky)))))) into (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (hypot (sin kx) (sin ky))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin kx)) into (sqrt (sin kx)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin kx)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin kx) (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]backup-simplify: Simplify (sqrt (sin ky)) into (sqrt (sin ky)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sin ky)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sin ky)) in ky * [misc]taylor: Taking taylor expansion of (sin ky) in ky * [misc]taylor: Taking taylor expansion of ky in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 +nan.0 into +nan.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 (/ (- (/ 1/2 (sin ky)) (pow 0 2) (+)) (* 2 (sqrt (sin ky)))) into (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) * [misc]taylor: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow (sin ky) 3)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (pow (sin ky) 3))) in ky * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sin ky) 3)) in ky * [misc]taylor: Taking taylor expansion of (pow (sin ky) 3) 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]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* ky 1) 2)) (+ (* (- +nan.0) (pow (* 1 kx) 2)) (* +nan.0 (* ky 1)))) into (- (+ (* +nan.0 (pow kx 2)) (- (+ (* +nan.0 (pow ky 2)) (- (* +nan.0 ky)))))) * [misc]approximate: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 kx)) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) into (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4) * [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 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 (* 1 0) 1)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -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 (* 1 0) 2)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)) 1/4) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) in (kx ky) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (hypot (sin (/ 1 (- kx))) (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]backup-simplify: Simplify (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) in ky * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky * [misc]taylor: Taking taylor expansion of 1/4 in ky * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [misc]backup-simplify: Simplify (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) into (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4) * [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 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 (* 1 0) 1)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -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 (* 1 0) 2)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in ky * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)) 1/4) into (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin th)) (log (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (log (sin th)) (log (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (exp (- (log (sin th)) (log (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 5 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sqrt (hypot (sin kx) (sin ky))) 1) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (/ (/ (pow (sin th) 3) (hypot (sin kx) (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (cbrt (/ (/ (pow (sin th) 3) (hypot (sin kx) (sin ky))) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 8 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 13 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 14 / 536 ] 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 1) to (λ (kx ky th) (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 15 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (/ 1 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (cbrt (sin th)) (/ 1 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sin th)) * [misc]simplify: Simplified (2 1 2) 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)))) * * * * [misc]progress: [ 16 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 17 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 18 / 536 ] 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 1) to (λ (kx ky th) (/ (* (sqrt (sin th)) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [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 2) to (λ (kx ky th) (/ (* (sqrt (sin th)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 19 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin th)) (/ 1 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [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 2) 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)))) * * * * [misc]progress: [ 20 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 21 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 22 / 536 ] 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 1) to (λ (kx ky th) (/ (* 1 (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* 1 (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 23 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 1) to (λ (kx ky th) (/ (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (/ 1 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [enter]simplify: Simplifying (/ (sin th) (/ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sin th) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 24 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (/ (/ (sin th) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 28 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1 2) to (λ (kx ky th) (/ (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 29 / 536 ] 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 1 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: [ 30 / 536 ] 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 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: [ 31 / 536 ] 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))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) 1) (cbrt (sin th)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 32 / 536 ] 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 (hypot (sin kx) (sin ky))) 1) (sqrt (sin th)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 33 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sin th)) (log (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (- (log (sqrt (hypot (sin kx) (sin ky)))) (log (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (- (- (+ (log (sin th)) (log (sin ky))) (log (sqrt (hypot (sin kx) (sin ky))))) (log (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (- (+ (log (sin th)) (log (sin ky))) (log (sqrt (hypot (sin kx) (sin ky))))) (log (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 39 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sin th)) (log (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (log (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (- (- (+ (log (sin ky)) (log (sin th))) (log (sqrt (hypot (sin kx) (sin ky))))) (log (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (- (+ (log (sin ky)) (log (sin th))) (log (sqrt (hypot (sin kx) (sin ky))))) (log (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 40 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (- (log (sqrt (hypot (sin kx) (sin ky)))) (log (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (- (- (+ (log (sin th)) (log (sin ky))) (log (sqrt (hypot (sin kx) (sin ky))))) (log (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (- (+ (log (sin th)) (log (sin ky))) (log (sqrt (hypot (sin kx) (sin ky))))) (log (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 41 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (log (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (- (log (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (log (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (exp (- (log (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (log (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 42 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sqrt (hypot (sin kx) (sin ky))) 1) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (* (sqrt (hypot (sin kx) (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) (* (* (sin ky) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (sin th) (sin th)) (hypot (sin kx) (sin ky))) (/ (hypot (sin kx) (sin ky)) (* (sin ky) (sin ky)))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (* (/ (/ (* (sin th) (sin th)) (hypot (sin kx) (sin ky))) (/ (hypot (sin kx) (sin ky)) (* (sin ky) (sin ky)))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 45 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sqrt (hypot (sin kx) (sin ky))) 1) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (* (* (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (sin th) 3) (hypot (sin kx) (sin ky))) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (/ (hypot (sin kx) (sin ky)) (sin ky)) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (/ (/ (/ (pow (sin th) 3) (hypot (sin kx) (sin ky))) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (/ (hypot (sin kx) (sin ky)) (sin ky)) (sin ky))))) * * * * [misc]progress: [ 46 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (* (sqrt (hypot (sin kx) (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) (* (* (sin ky) (sin ky)) (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (sin th) (sin th)) (hypot (sin kx) (sin ky))) (sin th)) (* (/ (hypot (sin kx) (sin ky)) (pow (sin ky) 3)) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (/ (* (/ (* (sin th) (sin th)) (hypot (sin kx) (sin ky))) (sin th)) (* (/ (hypot (sin kx) (sin ky)) (pow (sin ky) 3)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 47 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (* (* (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (pow (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) 3) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (cbrt (pow (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) 3))) * * * * [misc]progress: [ 48 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 53 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 54 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 55 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 56 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 57 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 58 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 59 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 60 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 61 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 62 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 63 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sin ky))) (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sin ky))) (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sin ky)))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sin ky))) (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sin ky)))) (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 64 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (sqrt (sin ky))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (sqrt (sin ky))) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 65 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 66 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 67 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 68 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 69 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (cbrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 70 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sin ky)) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 71 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 72 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 73 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 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) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (hypot (sin kx) (sin ky))))) (* (sin ky) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 74 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (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))))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (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))))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 75 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (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))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (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))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 76 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 77 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin ky)) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 78 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (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))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 79 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (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))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 80 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 81 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (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))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 82 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 83 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 84 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (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))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 85 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (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 (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 86 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 87 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 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))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (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))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 88 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 89 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 90 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (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))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 91 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (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))))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 92 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 93 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 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))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (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))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 94 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 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))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (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))))) (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 95 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (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 (hypot (sin kx) (sin ky)))) (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 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))))) (sqrt (hypot (sin kx) (sin ky)))) (* (sin ky) (sqrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 96 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 97 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 98 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sin ky))) (* (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sin ky))) (* (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sin ky))) (* (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 99 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 100 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (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 (sqrt (hypot (sin kx) (sin ky))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 101 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 102 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 103 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 104 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 105 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 106 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 107 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 108 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 109 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 110 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 111 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 112 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 113 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 114 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (* (sqrt (sin ky)) (cbrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 115 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 116 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 117 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (* (cbrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 118 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (sin th)))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (sin th)))) (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 119 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (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 (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (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 (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 120 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 121 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 122 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 123 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 124 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 125 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 126 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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 ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 127 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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) (* (* (sqrt (sin ky)) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 128 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (206 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (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 th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 129 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 130 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 131 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 132 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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 ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 133 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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) (* (* (sqrt (sin ky)) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 134 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (206 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (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 th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 135 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 136 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (* (cbrt (sin th)) (sqrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 137 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 138 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 139 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sin ky)) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 140 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 141 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (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 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (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 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 142 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 143 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 144 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 145 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 146 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 147 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 148 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 149 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 150 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 151 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (285 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (/ (cbrt (sin th)) (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 ky)) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 152 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin th)))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin th)))) (* (sqrt (sin ky)) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 153 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (32 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 154 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 155 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 156 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 157 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin th)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin th)) (cbrt (sin ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (cbrt (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 ky))) (* (cbrt (sin th)) (cbrt (sin ky)))) (* (cbrt (sin ky)) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 158 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (125 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (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))) (sqrt (sin ky))) (* (sqrt (sin ky)) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 159 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 160 / 536 ] 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) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (54 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 161 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (133 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))) 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (281 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: [ 162 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (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)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (cbrt (/ (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)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 163 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (cbrt (sin th)) (/ 1 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin th)) (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 164 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin ky)))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin ky)))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (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 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 165 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin th)))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (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 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 166 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin th))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin th))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin th))))) (/ (* (cbrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 167 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 168 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (/ (fabs (cbrt (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)))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin th))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin th)) (cbrt (sin th))))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 169 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (446 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (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)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sin ky)) (sqrt (cbrt (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)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 170 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin ky))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (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))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 171 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 172 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sin ky)) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 173 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sin th))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sin th))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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 ky)) (cbrt (sin ky))) (cbrt (sin th))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 174 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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: [ 175 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (201 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (149 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: [ 176 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin th)) (cbrt (sin ky))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))) (sqrt (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))))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 177 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin th)) (cbrt (sin th))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 178 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (sin ky)) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin th)) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 179 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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 ky)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 180 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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) (* (/ (* (sqrt (sin ky)) (* (cbrt (sin th)) (cbrt (sin th)))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 181 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (134 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (149 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: [ 182 / 536 ] 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 (51 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (138 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (149 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: [ 183 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 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 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sin th)) (/ 1 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 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: [ 184 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 185 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 186 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin ky)) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 187 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 188 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (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 (sqrt (hypot (sin kx) (sin ky))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 189 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (cbrt (sin ky)) (sqrt (sin th))) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin ky)) (sqrt (sin th))) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (cbrt (sin ky)) (sqrt (sin th))) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 190 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 191 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 192 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 193 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 194 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 195 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 196 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 197 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 198 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 199 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 200 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 201 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 202 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 203 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 204 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 205 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 206 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 207 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 208 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 209 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 210 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 211 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 212 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 213 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 214 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 215 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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 (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 216 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (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 th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 217 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 218 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 219 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 220 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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)) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 221 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (154 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 (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 222 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (61 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (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 th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 223 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (sqrt (sin th))) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (sqrt (sin th))) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (sqrt (sin th))) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 224 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 225 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 226 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 227 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sin ky)) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 228 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 229 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 230 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (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))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 231 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 232 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 233 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 234 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 235 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 236 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 237 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 238 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 239 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sqrt (sin th)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sqrt (sin th)))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sqrt (sin th)))) (* (cbrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 240 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (sin ky))) (* (sqrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 241 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 242 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 243 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 244 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin th)) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 245 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (73 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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (cbrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sin ky))) (* (cbrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 246 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (sqrt (sin th))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (sin th))) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (sin th))) (* (sqrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 247 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin th)) (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 248 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (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)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (197 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: [ 249 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) 1) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 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))) 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (281 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: [ 250 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (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)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (/ 1 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (cbrt (/ (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)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 251 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sqrt (sin th)) (/ 1 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 252 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (hypot (sin kx) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (hypot (sin kx) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (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 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 253 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (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 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 254 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sin ky)) (cbrt (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 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (* (sqrt (sin th)) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 255 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 256 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (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)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 257 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 258 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (sqrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (sqrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 259 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 260 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sin ky)) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 261 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (491 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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: [ 262 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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 ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 263 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (52 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (149 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: [ 264 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (sqrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (sqrt (sin th)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 265 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 266 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin th)) (sin ky)) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sqrt (sin th)) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 267 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (sqrt (sin th)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (sqrt (sin th)) (cbrt (sin ky)))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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) (* (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (sqrt (sin th)) (cbrt (sin ky)))) (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 268 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (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 (50 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (141 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 ky)) (sqrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 269 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (149 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: [ 270 / 536 ] 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 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (149 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: [ 271 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 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 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sin th)) (/ 1 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 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: [ 272 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 273 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 274 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (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 (sqrt (hypot (sin kx) (sin ky))))) (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 275 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (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)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 276 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 277 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 278 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (408 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 279 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 280 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 281 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 282 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (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 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 283 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 284 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 285 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 286 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 287 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 288 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ (sqrt (sqrt (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 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 289 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (* (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 (44 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 290 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 291 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 292 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 293 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 294 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 295 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (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 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 296 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 297 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 298 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (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 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (* (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 299 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 300 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 301 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (* (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (cbrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 302 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (333 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 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: [ 303 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (136 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 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: [ 304 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (140 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: [ 305 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 306 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 307 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 308 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (333 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 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: [ 309 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (136 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (153 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: [ 310 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 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 (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (140 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: [ 311 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (* (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 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 312 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 313 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 314 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 315 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 316 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 317 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 318 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 319 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 320 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 321 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (* (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 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 322 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (* (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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 323 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 324 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 325 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 326 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 327 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (42 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 328 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin ky)) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 329 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* 1 (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (198 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: [ 330 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 331 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 332 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 333 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 334 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin ky)) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 335 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (198 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: [ 336 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (198 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: [ 337 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 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))) 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (303 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: [ 338 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (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)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (/ 1 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sin th) (cbrt (/ (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)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 339 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (/ 1 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 340 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (* (sin th) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 341 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (cbrt (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)))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (* (sin th) (sqrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 342 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 343 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (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 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (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)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (sqrt (cbrt (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)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (cbrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 344 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (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 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sqrt (sin ky))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 345 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (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 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 346 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 347 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 348 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 349 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (468 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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (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)))) (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 350 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (118 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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (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 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (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)))) (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 351 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (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 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (128 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: [ 352 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 353 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (sqrt (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 (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 354 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (sin th) (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 355 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (242 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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (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)))) (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 356 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (108 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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (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 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (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)))) (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 357 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (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 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (128 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: [ 358 / 536 ] 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 (16 enodes) * * [misc]simplify: iters left: 3 (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) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ (sqrt (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 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (128 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: [ 359 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 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 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ 1 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sin th) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (hypot (sin kx) (sin ky))) (* (sin th) (sin ky)))) * * * * [misc]progress: [ 360 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 361 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 362 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 363 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 364 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 365 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 366 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 367 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 368 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 369 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 370 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 371 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (47 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 372 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sin ky)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sqrt (sin ky)) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin ky)) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 373 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* 1 (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (198 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: [ 374 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 375 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 376 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (* (sin ky) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 377 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (/ (sin th) (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 378 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (sqrt (sin ky)) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 379 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (198 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: [ 380 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (198 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: [ 381 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 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))) 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (303 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: [ 382 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (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 (/ (sin th) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 383 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 384 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (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 (* (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 385 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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 (41 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 386 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 387 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (* (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 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (sin th)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (sin th)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (sin th)) (cbrt (sin ky))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 388 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (* (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 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (sin th)) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 389 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (* (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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (sin th) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 390 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (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))) (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 391 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (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 (/ (* (sin th) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sin th) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 392 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (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 (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 393 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt 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 (22 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (sin th) (* (cbrt (sin ky)) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sin th) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 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 (sin ky)) (cbrt (sin ky)))) (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 394 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt 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 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (sin th) (sqrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sin th) (sqrt (sin ky))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 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 (sin ky))) (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 395 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sin th) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 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: [ 396 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (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))) (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 397 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (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 (/ (* (sin th) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sin th) (sqrt (sin ky))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 398 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ (sqrt (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 (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (sin th) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 399 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin ky)) (sin th)) (cbrt (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (sin th)) (cbrt (sin ky))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (* (* (cbrt (sin ky)) (sin th)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))))) * * * * [misc]progress: [ 400 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ 1 (sqrt (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 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (sin ky)) (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (sqrt (sin ky)) (sin th)) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (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: [ 401 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin th) (/ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sin th) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 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: [ 402 / 536 ] 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) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 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: [ 403 / 536 ] 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)))) (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (93 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: [ 404 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ 1 (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (/ (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)))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (/ 1 (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 405 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (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 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (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)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))))) * * * * [misc]progress: [ 406 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (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 (58 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ 1 (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 407 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (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 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (* (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ 1 (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 408 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (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 (94 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (hypot (sin kx) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (hypot (sin kx) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ 1 (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (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 (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (hypot (sin kx) (sin ky))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 409 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 410 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ 1 (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 411 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ 1 (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (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 (/ (sin ky) (sqrt (cbrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (fabs (cbrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (sqrt (cbrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 412 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (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 (35 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 413 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (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 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 414 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (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 (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 415 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (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 (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (* (cbrt (sin ky)) (cbrt (sin ky))) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 416 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [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 2) to (λ (kx ky th) (* (/ (* (sin th) (sqrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 417 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (51 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)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 418 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (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 (35 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 419 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (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 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (sin ky)) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 420 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (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 (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 421 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (* (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 (39 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * [exit]simplify: Simplified to (/ (* (sin th) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sin th) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (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 (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (* (/ (* (sin th) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 422 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sqrt (sin ky)))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * [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 2) to (λ (kx ky th) (* (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))) * * * * [misc]progress: [ 423 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 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)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 424 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 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)))) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 425 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (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) (hypot (sin kx) (sin ky))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ 1 (/ 1 (sin ky))))) * [enter]simplify: Simplifying (/ 1 (/ 1 (sin ky))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 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: [ 426 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 427 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 428 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 429 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (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)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 430 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (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 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 431 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (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))) 1)) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 432 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (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))) 1)) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))))) * * * * [misc]progress: [ 433 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (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)) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1)) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 434 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (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))) 1)) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 435 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (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))) 1)) (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))))) * * * * [misc]progress: [ 436 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (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 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) 1)) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 437 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 438 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))))) * * * * [misc]progress: [ 439 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 440 / 536 ] 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))) 1)) (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 441 / 536 ] 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))) 1)) (/ (sqrt 1) (sqrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 442 / 536 ] 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 1) 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 443 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 444 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))))) * * * * [misc]progress: [ 445 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (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 (sqrt (hypot (sin kx) (sin ky)))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 446 / 536 ] 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))) 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))))) * * * * [misc]progress: [ 447 / 536 ] 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))) 1)) (/ 1 (sqrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 448 / 536 ] 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)) (/ 1 1)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 449 / 536 ] 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)) 1) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 450 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (hypot (sin kx) (sin ky)))) (/ 1 (sin ky)))) * * * * [misc]progress: [ 451 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [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 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (cbrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 452 / 536 ] 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 (hypot (sin kx) (sin ky))) (sin ky)) (sqrt (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 453 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (cbrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 454 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (cbrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 455 / 536 ] 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))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))))) * * * * [misc]progress: [ 456 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 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)))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (cbrt (sin th)) (/ 1 1))))) * * * * [misc]progress: [ 457 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (/ (/ (sqrt (sin th)) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (sin th)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 458 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (/ (sqrt (sin th)) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (sin th)) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 459 / 536 ] 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 (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) 1))))) * * * * [misc]progress: [ 460 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (10 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 (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (sin th)) (/ 1 1))))) * * * * [misc]progress: [ 461 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (/ 1 (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sin th) (cbrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 462 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (/ 1 (sqrt (sqrt (hypot (sin kx) (sin ky))))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sin th) (sqrt (/ (sqrt (hypot (sin kx) (sin ky))) 1)))))) * * * * [misc]progress: [ 463 / 536 ] 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 (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1))))) * * * * [misc]progress: [ 464 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 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)))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sin th) (/ 1 1))))) * * * * [misc]progress: [ 465 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 466 / 536 ] 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) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ 1 (/ (sqrt (hypot (sin kx) (sin ky))) 1))))) * * * * [misc]progress: [ 467 / 536 ] 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)))) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) 1))) * * * * [misc]progress: [ 468 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (sqrt (hypot (sin kx) (sin ky)))) (sin ky))) * * * * [misc]progress: [ 469 / 536 ] 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) (* (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)) (/ (sqrt (hypot (sin kx) (sin ky))) 1)))) * * * * [misc]progress: [ 470 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 471 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 472 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 473 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (hypot (sin kx) (sin ky)))) (log (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (log (sqrt (hypot (sin kx) (sin ky)))) (log (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (exp (- (log (sqrt (hypot (sin kx) (sin ky)))) (log (sin ky)))))) * * * * [misc]progress: [ 474 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 475 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 476 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (hypot (sin kx) (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky)))) (* (* (sin ky) (sin ky)) (sin ky))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (hypot (sin kx) (sin ky))) (/ (hypot (sin kx) (sin ky)) (pow (sin ky) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (cbrt (* (sqrt (hypot (sin kx) (sin ky))) (/ (hypot (sin kx) (sin ky)) (pow (sin ky) 3)))))) * * * * [misc]progress: [ 477 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 478 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 479 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 480 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 481 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* (* (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (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))) 1)) (* (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 482 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (cbrt (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))) 1)) (* (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (cbrt (sqrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (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))) 1)) (* (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 483 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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))) 1)) (* (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (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))) 1)) (* (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 484 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (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))) 1)) (* (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (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))) 1)) (* (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 485 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (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))) 1)) (* (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (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))) 1)) (* (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 486 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (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 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (fabs (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (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))) 1)) (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (/ (sqrt (cbrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 487 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 488 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 489 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (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))) 1)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 490 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* (/ (/ 1 (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))) 1)) (* (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 491 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sin ky))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin ky))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* (/ 1 (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))) 1)) (* (/ 1 (sqrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 492 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* 1 (/ (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))) 1)) (* 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 493 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 494 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 495 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (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))) 1)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky)) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (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))) 1)) (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sin ky))))) * * * * [misc]progress: [ 496 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* (/ (/ 1 (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))) 1)) (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))) * * * * [misc]progress: [ 497 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* (/ 1 (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))) 1)) (* (/ 1 (sqrt (sin ky))) (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))))) * * * * [misc]progress: [ 498 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (* 1 (/ (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))) 1)) (* 1 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))))) * * * * [misc]progress: [ 499 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 500 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 501 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 502 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))))) * * * * [misc]progress: [ 503 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky))) (sqrt (sin ky))))) * * * * [misc]progress: [ 504 / 536 ] 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) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (/ (sqrt (hypot (sin kx) (sin ky))) 1) (sin ky)))) * * * * [misc]progress: [ 505 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (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))) 1)) (/ (* (cbrt (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sqrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (cbrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 506 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (fabs (cbrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (cbrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 507 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (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))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 508 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ 1 (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))))) * * * * [misc]progress: [ 509 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (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))) 1)) (/ (sqrt (sqrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (sqrt (hypot (sin kx) (sin ky)))))))) * * * * [misc]progress: [ 510 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 511 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 512 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 513 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 514 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 515 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 516 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 517 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 518 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 519 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (* (fabs (cbrt (hypot (sin kx) (sin ky)))) (sqrt (cbrt (hypot (sin kx) (sin ky))))) (sin ky)))) * * * * [misc]progress: [ 520 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (hypot (sin kx) (sin ky)))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (hypot (sin kx) (sin ky)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (* (sqrt (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sqrt (hypot (sin kx) (sin ky))))) (sin ky)))) * * * * [misc]progress: [ 521 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (* 1 (sqrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 522 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 523 / 536 ] 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 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (fabs (sqrt (hypot (sin kx) (sin ky)))) (sin ky)))) * * * * [misc]progress: [ 524 / 536 ] simplifiying candidate # * * * * [misc]progress: [ 525 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 1 ky)) th) (+ (* +nan.0 (pow th 3)) (- (* +nan.0 (* (pow kx 2) th))))) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ +nan.0 (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 526 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (sin th)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (pow (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))) 1/4) (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (pow (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))) 1/4) (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 527 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/4) (sin th)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (pow (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))) 1/4) (sin th)) * [misc]simplify: Simplified (2 1) to (λ (kx ky th) (/ (* (pow (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))) 1/4) (sin th)) (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky)))) * * * * [misc]progress: [ 528 / 536 ] 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: [ 529 / 536 ] 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: [ 530 / 536 ] 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: [ 531 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow kx 2) ky)) (- (+ (* +nan.0 ky) (- +nan.0))))) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) +nan.0)) * * * * [misc]progress: [ 532 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) (sin ky)))) * * * * [misc]progress: [ 533 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) (/ 1 (sin ky))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) (sin ky)) * [misc]simplify: Simplified (2 2) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) (sin ky)))) * * * * [misc]progress: [ 534 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow kx 2)) (- (+ (* +nan.0 (pow ky 2)) (- (* +nan.0 ky)))))) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ +nan.0 (sin ky)))) * * * * [misc]progress: [ 535 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) (sin ky)))) * * * * [misc]progress: [ 536 / 536 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (pow (sin ky) 2) (pow (sin kx) 2)) 1/4) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) * [misc]simplify: Simplified (2 2 1) to (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin kx) (sin ky))) 1)) (/ (pow (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1/4) (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: #