0.760 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.542 * * * [progress]: [2/2] Setting up program.
0.548 * [progress]: [Phase 2 of 3] Improving.
0.548 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)))>
0.550 * [simplify]: Simplifying:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
0.551 * * [simplify]: iteration 0: 13 enodes
0.558 * * [simplify]: iteration 1: 25 enodes
0.565 * * [simplify]: iteration 2: 61 enodes
0.576 * * [simplify]: iteration 3: 95 enodes
0.593 * * [simplify]: iteration 4: 177 enodes
1.034 * * [simplify]: iteration 5: 367 enodes
1.200 * * [simplify]: iteration 6: 911 enodes
2.116 * * [simplify]: iteration 7: 3205 enodes
3.097 * * [simplify]: iteration complete: 5000 enodes
3.098 * * [simplify]: Extracting #0: cost 1 inf + 0
3.098 * * [simplify]: Extracting #1: cost 107 inf + 0
3.099 * * [simplify]: Extracting #2: cost 337 inf + 0
3.102 * * [simplify]: Extracting #3: cost 397 inf + 7617
3.106 * * [simplify]: Extracting #4: cost 608 inf + 24761
3.129 * * [simplify]: Extracting #5: cost 862 inf + 187592
3.188 * * [simplify]: Extracting #6: cost 465 inf + 591951
3.326 * * [simplify]: Extracting #7: cost 46 inf + 969916
3.438 * * [simplify]: Extracting #8: cost 0 inf + 1006671
3.539 * [simplify]: Simplified to:
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
3.551 * * [progress]: iteration 1 / 4
3.551 * * * [progress]: picking best candidate
3.555 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.555 * * * [progress]: localizing error
3.578 * * * [progress]: generating rewritten candidates
3.578 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
3.596 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
3.615 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2)
3.617 * * * [progress]: generating series expansions
3.617 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
3.628 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin ky) (sin kx))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
3.628 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
3.629 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
3.629 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.629 * [taylor]: Taking taylor expansion of ky in kx
3.629 * [backup-simplify]: Simplify ky into ky
3.629 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.629 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.630 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.631 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.631 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.631 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.631 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.631 * [taylor]: Taking taylor expansion of ky in kx
3.631 * [backup-simplify]: Simplify ky into ky
3.631 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.631 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.631 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.631 * [taylor]: Taking taylor expansion of ky in kx
3.631 * [backup-simplify]: Simplify ky into ky
3.631 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.631 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.631 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.631 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.631 * [taylor]: Taking taylor expansion of kx in kx
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.631 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.631 * [taylor]: Taking taylor expansion of kx in kx
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.632 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.632 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.633 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.633 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.633 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.633 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.633 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.633 * [backup-simplify]: Simplify (* 0 0) into 0
3.634 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.634 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.635 * [backup-simplify]: Simplify (+ 0) into 0
3.635 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.636 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.636 * [backup-simplify]: Simplify (+ 0 0) into 0
3.636 * [backup-simplify]: Simplify (+ 0) into 0
3.637 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.638 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.638 * [backup-simplify]: Simplify (+ 0 0) into 0
3.638 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.640 * [backup-simplify]: Simplify (+ 0 0) into 0
3.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.641 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.641 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.641 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.641 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
3.641 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
3.641 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.641 * [taylor]: Taking taylor expansion of ky in ky
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.641 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.641 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.641 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.641 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.641 * [taylor]: Taking taylor expansion of ky in ky
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.641 * [taylor]: Taking taylor expansion of ky in ky
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.641 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.641 * [taylor]: Taking taylor expansion of kx in ky
3.641 * [backup-simplify]: Simplify kx into kx
3.641 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.641 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.641 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.641 * [taylor]: Taking taylor expansion of kx in ky
3.642 * [backup-simplify]: Simplify kx into kx
3.642 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.642 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.642 * [backup-simplify]: Simplify (* 0 0) into 0
3.642 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.642 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.642 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.642 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.642 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.642 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.643 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.643 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.643 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.645 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.645 * [backup-simplify]: Simplify (+ 0) into 0
3.646 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.647 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.647 * [backup-simplify]: Simplify (+ 0 0) into 0
3.648 * [backup-simplify]: Simplify (+ 0) into 0
3.648 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.649 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.650 * [backup-simplify]: Simplify (+ 0 0) into 0
3.650 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.650 * [backup-simplify]: Simplify (+ 0 0) into 0
3.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.651 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.651 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
3.651 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.651 * [taylor]: Taking taylor expansion of ky in ky
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.651 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.651 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.651 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.651 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.652 * [taylor]: Taking taylor expansion of ky in ky
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.652 * [taylor]: Taking taylor expansion of ky in ky
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.652 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.652 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.652 * [taylor]: Taking taylor expansion of kx in ky
3.652 * [backup-simplify]: Simplify kx into kx
3.652 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.652 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.652 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.652 * [taylor]: Taking taylor expansion of kx in ky
3.652 * [backup-simplify]: Simplify kx into kx
3.652 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.652 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.653 * [backup-simplify]: Simplify (* 0 0) into 0
3.653 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.653 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.653 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.653 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.653 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.653 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.653 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.653 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.654 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.656 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.656 * [backup-simplify]: Simplify (+ 0) into 0
3.657 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.658 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (+ 0) into 0
3.659 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.661 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.661 * [backup-simplify]: Simplify (+ 0 0) into 0
3.661 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.662 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.663 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.663 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.663 * [taylor]: Taking taylor expansion of kx in kx
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify 1 into 1
3.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.664 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.666 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.668 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
3.668 * [taylor]: Taking taylor expansion of 0 in kx
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.671 * [backup-simplify]: Simplify 1/6 into 1/6
3.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.674 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.675 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.678 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.679 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.679 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.681 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.682 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.683 * [backup-simplify]: Simplify (+ 0 0) into 0
3.683 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.684 * [backup-simplify]: Simplify (+ 1 0) into 1
3.684 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
3.685 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
3.685 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.685 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.685 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.685 * [taylor]: Taking taylor expansion of 1/6 in kx
3.685 * [backup-simplify]: Simplify 1/6 into 1/6
3.685 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.685 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.685 * [taylor]: Taking taylor expansion of kx in kx
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.687 * [backup-simplify]: Simplify (/ 1 1) into 1
3.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.687 * [taylor]: Taking taylor expansion of 1/2 in kx
3.687 * [backup-simplify]: Simplify 1/2 into 1/2
3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.687 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.687 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.687 * [taylor]: Taking taylor expansion of kx in kx
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.689 * [backup-simplify]: Simplify (* 1 1) into 1
3.689 * [backup-simplify]: Simplify (* 1 1) into 1
3.690 * [backup-simplify]: Simplify (/ 1 1) into 1
3.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.693 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.694 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.699 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.705 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.709 * [backup-simplify]: Simplify (+ 0 0) into 0
3.710 * [backup-simplify]: Simplify (- 0) into 0
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify 0 into 0
3.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.713 * [backup-simplify]: Simplify 0 into 0
3.715 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.719 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
3.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.721 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.723 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.724 * [backup-simplify]: Simplify (+ 0 0) into 0
3.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.725 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.728 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.728 * [backup-simplify]: Simplify (+ 0 0) into 0
3.729 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.729 * [backup-simplify]: Simplify (+ 0 0) into 0
3.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
3.730 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 0 (sin kx))))) into 0
3.730 * [taylor]: Taking taylor expansion of 0 in kx
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.734 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
3.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.739 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
3.741 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
3.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
3.744 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
3.745 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
3.745 * [backup-simplify]: Simplify (- 71/720) into -71/720
3.745 * [backup-simplify]: Simplify -71/720 into -71/720
3.745 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
3.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
3.751 * [backup-simplify]: Simplify 7/360 into 7/360
3.753 * [backup-simplify]: Simplify (+ (* 7/360 (* (pow kx 3) ky)) (+ (* -71/720 (* kx (pow ky 3))) (* 1/6 (* kx ky)))) into (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
3.753 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
3.753 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
3.753 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
3.753 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.753 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.753 * [taylor]: Taking taylor expansion of ky in kx
3.753 * [backup-simplify]: Simplify ky into ky
3.753 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.753 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.753 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.753 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.753 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.753 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.753 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.753 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.753 * [taylor]: Taking taylor expansion of ky in kx
3.753 * [backup-simplify]: Simplify ky into ky
3.754 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.754 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.754 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.754 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.754 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.754 * [taylor]: Taking taylor expansion of ky in kx
3.754 * [backup-simplify]: Simplify ky into ky
3.754 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.754 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.754 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.754 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.754 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.754 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.754 * [taylor]: Taking taylor expansion of kx in kx
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (/ 1 1) into 1
3.755 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.755 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.755 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.755 * [taylor]: Taking taylor expansion of kx in kx
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (/ 1 1) into 1
3.755 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.756 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.756 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.756 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.756 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.756 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.756 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.756 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.756 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.756 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.757 * [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)))
3.757 * [backup-simplify]: Simplify (+ 0) into 0
3.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.760 * [backup-simplify]: Simplify (+ 0 0) into 0
3.760 * [backup-simplify]: Simplify (+ 0) into 0
3.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.762 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.762 * [backup-simplify]: Simplify (+ 0 0) into 0
3.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.763 * [backup-simplify]: Simplify (+ 0 0) into 0
3.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.763 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.763 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.763 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.764 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
3.764 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.764 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.764 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.764 * [taylor]: Taking taylor expansion of ky in ky
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify 1 into 1
3.764 * [backup-simplify]: Simplify (/ 1 1) into 1
3.765 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.765 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.765 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.765 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.765 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.765 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.765 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.765 * [taylor]: Taking taylor expansion of ky in ky
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify (/ 1 1) into 1
3.765 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.765 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.765 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.765 * [taylor]: Taking taylor expansion of ky in ky
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify (/ 1 1) into 1
3.766 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.766 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.766 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.766 * [taylor]: Taking taylor expansion of kx in ky
3.766 * [backup-simplify]: Simplify kx into kx
3.766 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.766 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.766 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.766 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.766 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.766 * [taylor]: Taking taylor expansion of kx in ky
3.766 * [backup-simplify]: Simplify kx into kx
3.766 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.767 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.767 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.767 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.767 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.767 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.767 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.767 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.767 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.767 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.767 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.768 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.768 * [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)))
3.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.768 * [backup-simplify]: Simplify (+ 0) into 0
3.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.775 * [backup-simplify]: Simplify (+ 0 0) into 0
3.776 * [backup-simplify]: Simplify (+ 0) into 0
3.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.777 * [backup-simplify]: Simplify (+ 0 0) into 0
3.777 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.777 * [backup-simplify]: Simplify (+ 0 0) into 0
3.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.778 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
3.778 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.778 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.778 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.778 * [taylor]: Taking taylor expansion of ky in ky
3.778 * [backup-simplify]: Simplify 0 into 0
3.778 * [backup-simplify]: Simplify 1 into 1
3.778 * [backup-simplify]: Simplify (/ 1 1) into 1
3.778 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.778 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.778 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.778 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.778 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.778 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.778 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.778 * [taylor]: Taking taylor expansion of ky in ky
3.778 * [backup-simplify]: Simplify 0 into 0
3.778 * [backup-simplify]: Simplify 1 into 1
3.779 * [backup-simplify]: Simplify (/ 1 1) into 1
3.779 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.779 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.779 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.779 * [taylor]: Taking taylor expansion of ky in ky
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify 1 into 1
3.779 * [backup-simplify]: Simplify (/ 1 1) into 1
3.779 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.779 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.779 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.779 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.779 * [taylor]: Taking taylor expansion of kx in ky
3.779 * [backup-simplify]: Simplify kx into kx
3.779 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.779 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.779 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.779 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.779 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.779 * [taylor]: Taking taylor expansion of kx in ky
3.779 * [backup-simplify]: Simplify kx into kx
3.779 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.779 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.779 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.779 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.780 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.780 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.780 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.780 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.780 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.780 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.780 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.780 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.780 * [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)))
3.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.780 * [backup-simplify]: Simplify (+ 0) into 0
3.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (+ 0) into 0
3.782 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.783 * [backup-simplify]: Simplify (+ 0 0) into 0
3.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.784 * [backup-simplify]: Simplify (+ 0 0) into 0
3.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.784 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
3.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
3.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.784 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.785 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.785 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.785 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.785 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.785 * [taylor]: Taking taylor expansion of kx in kx
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 1 into 1
3.785 * [backup-simplify]: Simplify (/ 1 1) into 1
3.785 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.785 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.785 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.785 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.785 * [taylor]: Taking taylor expansion of ky in kx
3.785 * [backup-simplify]: Simplify ky into ky
3.785 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.785 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.785 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.785 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.785 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.785 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.786 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.786 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.786 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.786 * [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)))
3.786 * [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))))
3.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.786 * [backup-simplify]: Simplify (+ 0) into 0
3.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.788 * [backup-simplify]: Simplify (+ 0 0) into 0
3.788 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.789 * [backup-simplify]: Simplify (+ 0 0) into 0
3.789 * [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
3.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.789 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.789 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.789 * [taylor]: Taking taylor expansion of ky in kx
3.789 * [backup-simplify]: Simplify ky into ky
3.789 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.789 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.789 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.789 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.790 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.790 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.790 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
3.790 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
3.791 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
3.791 * [taylor]: Taking taylor expansion of 0 in kx
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify (+ 0) into 0
3.792 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.795 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
3.795 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.798 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.799 * [backup-simplify]: Simplify (+ 0 0) into 0
3.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.801 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.802 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.803 * [backup-simplify]: Simplify (+ 0 0) into 0
3.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.803 * [backup-simplify]: Simplify (+ 0 0) into 0
3.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.805 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
3.805 * [taylor]: Taking taylor expansion of 0 in kx
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.807 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.808 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.809 * [backup-simplify]: Simplify (+ 0 0) into 0
3.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.814 * [backup-simplify]: Simplify (+ 0 0) into 0
3.815 * [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
3.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.816 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.816 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.818 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.821 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.822 * [backup-simplify]: Simplify (+ 0 0) into 0
3.823 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.826 * [backup-simplify]: Simplify (+ 0 0) into 0
3.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.828 * [backup-simplify]: Simplify (+ 0 0) into 0
3.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.830 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 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
3.830 * [taylor]: Taking taylor expansion of 0 in kx
3.830 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
3.831 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
3.831 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
3.831 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
3.831 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.831 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.831 * [taylor]: Taking taylor expansion of -1 in kx
3.831 * [backup-simplify]: Simplify -1 into -1
3.831 * [taylor]: Taking taylor expansion of ky in kx
3.831 * [backup-simplify]: Simplify ky into ky
3.831 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.831 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.831 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.831 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.831 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.831 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.831 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.831 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.831 * [taylor]: Taking taylor expansion of -1 in kx
3.831 * [backup-simplify]: Simplify -1 into -1
3.831 * [taylor]: Taking taylor expansion of ky in kx
3.831 * [backup-simplify]: Simplify ky into ky
3.831 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.831 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.832 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.832 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.832 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.832 * [taylor]: Taking taylor expansion of -1 in kx
3.832 * [backup-simplify]: Simplify -1 into -1
3.832 * [taylor]: Taking taylor expansion of ky in kx
3.832 * [backup-simplify]: Simplify ky into ky
3.832 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.832 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.832 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.832 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.832 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.832 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.832 * [taylor]: Taking taylor expansion of -1 in kx
3.832 * [backup-simplify]: Simplify -1 into -1
3.832 * [taylor]: Taking taylor expansion of kx in kx
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (/ -1 1) into -1
3.833 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.833 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.833 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.833 * [taylor]: Taking taylor expansion of -1 in kx
3.833 * [backup-simplify]: Simplify -1 into -1
3.833 * [taylor]: Taking taylor expansion of kx in kx
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (/ -1 1) into -1
3.834 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.834 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.834 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.834 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.834 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.834 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.834 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.834 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.835 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.835 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.835 * [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)))
3.836 * [backup-simplify]: Simplify (+ 0) into 0
3.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.836 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.838 * [backup-simplify]: Simplify (+ 0 0) into 0
3.838 * [backup-simplify]: Simplify (+ 0) into 0
3.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.839 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.840 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.841 * [backup-simplify]: Simplify (+ 0 0) into 0
3.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.841 * [backup-simplify]: Simplify (+ 0 0) into 0
3.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.842 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.842 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.842 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.842 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.842 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.842 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.842 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.842 * [taylor]: Taking taylor expansion of -1 in ky
3.842 * [backup-simplify]: Simplify -1 into -1
3.842 * [taylor]: Taking taylor expansion of ky in ky
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify (/ -1 1) into -1
3.843 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.843 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.843 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.843 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.843 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.843 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.843 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.843 * [taylor]: Taking taylor expansion of -1 in ky
3.843 * [backup-simplify]: Simplify -1 into -1
3.843 * [taylor]: Taking taylor expansion of ky in ky
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify 1 into 1
3.844 * [backup-simplify]: Simplify (/ -1 1) into -1
3.844 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.844 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.844 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.844 * [taylor]: Taking taylor expansion of -1 in ky
3.844 * [backup-simplify]: Simplify -1 into -1
3.844 * [taylor]: Taking taylor expansion of ky in ky
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 1 into 1
3.845 * [backup-simplify]: Simplify (/ -1 1) into -1
3.845 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.845 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.845 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.845 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.845 * [taylor]: Taking taylor expansion of -1 in ky
3.845 * [backup-simplify]: Simplify -1 into -1
3.845 * [taylor]: Taking taylor expansion of kx in ky
3.845 * [backup-simplify]: Simplify kx into kx
3.845 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.845 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.845 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.845 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.845 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.845 * [taylor]: Taking taylor expansion of -1 in ky
3.845 * [backup-simplify]: Simplify -1 into -1
3.845 * [taylor]: Taking taylor expansion of kx in ky
3.845 * [backup-simplify]: Simplify kx into kx
3.845 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.845 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.845 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.845 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.846 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.846 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.846 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.846 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.846 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.846 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.846 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.846 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.846 * [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)))
3.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.847 * [backup-simplify]: Simplify (+ 0) into 0
3.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.848 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.849 * [backup-simplify]: Simplify (+ 0 0) into 0
3.850 * [backup-simplify]: Simplify (+ 0) into 0
3.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.850 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.853 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.853 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.853 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.853 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.853 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.853 * [taylor]: Taking taylor expansion of -1 in ky
3.853 * [backup-simplify]: Simplify -1 into -1
3.853 * [taylor]: Taking taylor expansion of ky in ky
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 1 into 1
3.854 * [backup-simplify]: Simplify (/ -1 1) into -1
3.854 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.854 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.854 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.854 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.854 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.854 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.854 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.854 * [taylor]: Taking taylor expansion of -1 in ky
3.854 * [backup-simplify]: Simplify -1 into -1
3.854 * [taylor]: Taking taylor expansion of ky in ky
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (/ -1 1) into -1
3.855 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.855 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.855 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.855 * [taylor]: Taking taylor expansion of -1 in ky
3.855 * [backup-simplify]: Simplify -1 into -1
3.855 * [taylor]: Taking taylor expansion of ky in ky
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (/ -1 1) into -1
3.856 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.856 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.856 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.856 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.856 * [taylor]: Taking taylor expansion of -1 in ky
3.856 * [backup-simplify]: Simplify -1 into -1
3.856 * [taylor]: Taking taylor expansion of kx in ky
3.856 * [backup-simplify]: Simplify kx into kx
3.856 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.856 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.856 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.856 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.856 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.856 * [taylor]: Taking taylor expansion of -1 in ky
3.856 * [backup-simplify]: Simplify -1 into -1
3.856 * [taylor]: Taking taylor expansion of kx in ky
3.856 * [backup-simplify]: Simplify kx into kx
3.856 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.856 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.856 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.856 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.856 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.857 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.857 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.857 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.857 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.857 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.857 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.857 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.857 * [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)))
3.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.858 * [backup-simplify]: Simplify (+ 0) into 0
3.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.859 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.860 * [backup-simplify]: Simplify (+ 0 0) into 0
3.861 * [backup-simplify]: Simplify (+ 0) into 0
3.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.861 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.863 * [backup-simplify]: Simplify (+ 0 0) into 0
3.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.864 * [backup-simplify]: Simplify (+ 0 0) into 0
3.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.864 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
3.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.865 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.865 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.865 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.865 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.865 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.865 * [taylor]: Taking taylor expansion of -1 in kx
3.865 * [backup-simplify]: Simplify -1 into -1
3.865 * [taylor]: Taking taylor expansion of kx in kx
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 1 into 1
3.865 * [backup-simplify]: Simplify (/ -1 1) into -1
3.865 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.865 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.866 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.866 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.866 * [taylor]: Taking taylor expansion of -1 in kx
3.866 * [backup-simplify]: Simplify -1 into -1
3.866 * [taylor]: Taking taylor expansion of ky in kx
3.866 * [backup-simplify]: Simplify ky into ky
3.866 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.866 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.866 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.866 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.866 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.866 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.866 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.866 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.867 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.867 * [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)))
3.867 * [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))))
3.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.868 * [backup-simplify]: Simplify (+ 0) into 0
3.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.868 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.869 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.870 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.870 * [backup-simplify]: Simplify (+ 0 0) into 0
3.870 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.871 * [backup-simplify]: Simplify (+ 0 0) into 0
3.871 * [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
3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.872 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.872 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.872 * [taylor]: Taking taylor expansion of -1 in kx
3.872 * [backup-simplify]: Simplify -1 into -1
3.872 * [taylor]: Taking taylor expansion of ky in kx
3.872 * [backup-simplify]: Simplify ky into ky
3.872 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.872 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.872 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.872 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.872 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.872 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.873 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.873 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.874 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
3.874 * [taylor]: Taking taylor expansion of 0 in kx
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify (+ 0) into 0
3.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.875 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.877 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.877 * [backup-simplify]: Simplify (+ 0 0) into 0
3.877 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
3.877 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.880 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.881 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.882 * [backup-simplify]: Simplify (+ 0 0) into 0
3.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.884 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.884 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.885 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.886 * [backup-simplify]: Simplify (+ 0 0) into 0
3.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.889 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
3.889 * [taylor]: Taking taylor expansion of 0 in kx
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 0 into 0
3.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.892 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.893 * [backup-simplify]: Simplify (+ 0 0) into 0
3.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.895 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.896 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.898 * [backup-simplify]: Simplify (+ 0 0) into 0
3.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.899 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [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
3.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.901 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.901 * [backup-simplify]: Simplify 0 into 0
3.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.903 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.904 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.908 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.909 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.915 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 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
3.915 * [taylor]: Taking taylor expansion of 0 in kx
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
3.916 * * * * [progress]: [ 2 / 3 ] generating series at (2)
3.916 * [backup-simplify]: Simplify (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
3.916 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
3.916 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
3.916 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
3.916 * [taylor]: Taking taylor expansion of (sin th) in kx
3.916 * [taylor]: Taking taylor expansion of th in kx
3.916 * [backup-simplify]: Simplify th into th
3.916 * [backup-simplify]: Simplify (sin th) into (sin th)
3.916 * [backup-simplify]: Simplify (cos th) into (cos th)
3.916 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.916 * [taylor]: Taking taylor expansion of ky in kx
3.917 * [backup-simplify]: Simplify ky into ky
3.917 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.917 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.917 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.917 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.917 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.917 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.917 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.917 * [taylor]: Taking taylor expansion of ky in kx
3.917 * [backup-simplify]: Simplify ky into ky
3.917 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.917 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.917 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.917 * [taylor]: Taking taylor expansion of ky in kx
3.917 * [backup-simplify]: Simplify ky into ky
3.917 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.917 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.917 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.917 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.917 * [taylor]: Taking taylor expansion of kx in kx
3.917 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify 1 into 1
3.917 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.917 * [taylor]: Taking taylor expansion of kx in kx
3.917 * [backup-simplify]: Simplify 0 into 0
3.917 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.917 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.917 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.918 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.918 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.918 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.918 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.918 * [backup-simplify]: Simplify (* 0 0) into 0
3.918 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.918 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.919 * [backup-simplify]: Simplify (+ 0) into 0
3.919 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.920 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.921 * [backup-simplify]: Simplify (+ 0 0) into 0
3.921 * [backup-simplify]: Simplify (+ 0) into 0
3.922 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.925 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.926 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.928 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.928 * [backup-simplify]: Simplify (+ 0 0) into 0
3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.928 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.929 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.929 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.929 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.929 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.929 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.929 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
3.929 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
3.929 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
3.929 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
3.929 * [taylor]: Taking taylor expansion of (sin th) in ky
3.929 * [taylor]: Taking taylor expansion of th in ky
3.929 * [backup-simplify]: Simplify th into th
3.929 * [backup-simplify]: Simplify (sin th) into (sin th)
3.929 * [backup-simplify]: Simplify (cos th) into (cos th)
3.929 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.929 * [taylor]: Taking taylor expansion of ky in ky
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.929 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.929 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.930 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.930 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.930 * [taylor]: Taking taylor expansion of ky in ky
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.930 * [taylor]: Taking taylor expansion of ky in ky
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.930 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.930 * [taylor]: Taking taylor expansion of kx in ky
3.930 * [backup-simplify]: Simplify kx into kx
3.930 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.930 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.930 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.930 * [taylor]: Taking taylor expansion of kx in ky
3.930 * [backup-simplify]: Simplify kx into kx
3.930 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.930 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.930 * [backup-simplify]: Simplify (* 0 0) into 0
3.931 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.931 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.931 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.931 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.931 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.931 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.931 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.931 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.931 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.933 * [backup-simplify]: Simplify (+ 0) into 0
3.934 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.935 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.935 * [backup-simplify]: Simplify (+ 0 0) into 0
3.936 * [backup-simplify]: Simplify (+ 0) into 0
3.936 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.937 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.939 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.939 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.939 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.939 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.940 * [backup-simplify]: Simplify (+ 0) into 0
3.941 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
3.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.942 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
3.942 * [backup-simplify]: Simplify (+ 0 0) into 0
3.943 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
3.943 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
3.943 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.943 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.943 * [taylor]: Taking taylor expansion of (sin th) in th
3.943 * [taylor]: Taking taylor expansion of th in th
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [taylor]: Taking taylor expansion of (sin ky) in th
3.943 * [taylor]: Taking taylor expansion of ky in th
3.943 * [backup-simplify]: Simplify ky into ky
3.943 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.943 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.943 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.943 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.943 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.943 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.943 * [taylor]: Taking taylor expansion of (sin ky) in th
3.943 * [taylor]: Taking taylor expansion of ky in th
3.943 * [backup-simplify]: Simplify ky into ky
3.943 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.943 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.943 * [taylor]: Taking taylor expansion of (sin ky) in th
3.943 * [taylor]: Taking taylor expansion of ky in th
3.943 * [backup-simplify]: Simplify ky into ky
3.944 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.944 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.944 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.944 * [taylor]: Taking taylor expansion of (sin kx) in th
3.944 * [taylor]: Taking taylor expansion of kx in th
3.944 * [backup-simplify]: Simplify kx into kx
3.944 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.944 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.944 * [taylor]: Taking taylor expansion of (sin kx) in th
3.944 * [taylor]: Taking taylor expansion of kx in th
3.944 * [backup-simplify]: Simplify kx into kx
3.944 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.944 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.944 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.944 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.944 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.944 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.944 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.944 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.944 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.944 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.944 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.945 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.945 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.945 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.945 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.945 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.945 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.945 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.946 * [backup-simplify]: Simplify (+ 0) into 0
3.946 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.947 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.948 * [backup-simplify]: Simplify (+ 0) into 0
3.948 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.950 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.950 * [backup-simplify]: Simplify (+ 0 0) into 0
3.950 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.951 * [backup-simplify]: Simplify (+ 0) into 0
3.951 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.952 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.953 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (+ 0) into 0
3.954 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.955 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.955 * [backup-simplify]: Simplify (+ 0 0) into 0
3.955 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.956 * [backup-simplify]: Simplify (+ 0 0) into 0
3.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.956 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.956 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.956 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.956 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.956 * [backup-simplify]: Simplify (+ 0) into 0
3.957 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.958 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.958 * [backup-simplify]: Simplify (+ 0 0) into 0
3.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.960 * [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))
3.960 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.960 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.960 * [taylor]: Taking taylor expansion of (sin th) in th
3.960 * [taylor]: Taking taylor expansion of th in th
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 1 into 1
3.960 * [taylor]: Taking taylor expansion of (sin ky) in th
3.960 * [taylor]: Taking taylor expansion of ky in th
3.960 * [backup-simplify]: Simplify ky into ky
3.960 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.960 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.960 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.960 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.960 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.960 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.960 * [taylor]: Taking taylor expansion of (sin ky) in th
3.960 * [taylor]: Taking taylor expansion of ky in th
3.960 * [backup-simplify]: Simplify ky into ky
3.960 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.961 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.961 * [taylor]: Taking taylor expansion of (sin ky) in th
3.961 * [taylor]: Taking taylor expansion of ky in th
3.961 * [backup-simplify]: Simplify ky into ky
3.961 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.961 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.961 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.961 * [taylor]: Taking taylor expansion of (sin kx) in th
3.961 * [taylor]: Taking taylor expansion of kx in th
3.961 * [backup-simplify]: Simplify kx into kx
3.961 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.961 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.961 * [taylor]: Taking taylor expansion of (sin kx) in th
3.961 * [taylor]: Taking taylor expansion of kx in th
3.961 * [backup-simplify]: Simplify kx into kx
3.961 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.961 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.961 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.961 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.961 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.961 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.961 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.961 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.962 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.962 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.962 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.962 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.962 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.962 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.962 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.962 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.962 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.962 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.963 * [backup-simplify]: Simplify (+ 0) into 0
3.963 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.965 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.965 * [backup-simplify]: Simplify (+ 0 0) into 0
3.965 * [backup-simplify]: Simplify (+ 0) into 0
3.966 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.967 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.967 * [backup-simplify]: Simplify (+ 0 0) into 0
3.967 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.967 * [backup-simplify]: Simplify (+ 0) into 0
3.968 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.968 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.969 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (+ 0) into 0
3.969 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.970 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.970 * [backup-simplify]: Simplify (+ 0 0) into 0
3.971 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.971 * [backup-simplify]: Simplify (+ 0 0) into 0
3.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.971 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.971 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.971 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.971 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.972 * [backup-simplify]: Simplify (+ 0) into 0
3.972 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.973 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.975 * [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))
3.975 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.975 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.975 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.975 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.976 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.976 * [taylor]: Taking taylor expansion of ky in ky
3.976 * [backup-simplify]: Simplify 0 into 0
3.976 * [backup-simplify]: Simplify 1 into 1
3.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.976 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.976 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.976 * [taylor]: Taking taylor expansion of kx in ky
3.976 * [backup-simplify]: Simplify kx into kx
3.976 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.977 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.977 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.977 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.977 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.977 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.977 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.977 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.977 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.978 * [backup-simplify]: Simplify (+ 0) into 0
3.978 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.979 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.980 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.980 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.981 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.981 * [taylor]: Taking taylor expansion of ky in ky
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.982 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.982 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.982 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.982 * [taylor]: Taking taylor expansion of kx in kx
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 1 into 1
3.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.983 * [backup-simplify]: Simplify (/ 1 1) into 1
3.984 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.985 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.986 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.988 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.988 * [backup-simplify]: Simplify (+ 0 0) into 0
3.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
3.991 * [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
3.991 * [taylor]: Taking taylor expansion of 0 in ky
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [taylor]: Taking taylor expansion of 0 in kx
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.992 * [backup-simplify]: Simplify (* 1 1) into 1
3.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.994 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.995 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.995 * [backup-simplify]: Simplify (+ 0 0) into 0
3.996 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.996 * [backup-simplify]: Simplify (+ 1 0) into 1
3.997 * [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)))
3.998 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
3.998 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
3.998 * [taylor]: Taking taylor expansion of 0 in kx
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
4.001 * [backup-simplify]: Simplify 1/6 into 1/6
4.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.003 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.005 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.005 * [backup-simplify]: Simplify (+ 0 0) into 0
4.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
4.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.010 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
4.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.011 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
4.011 * [backup-simplify]: Simplify (+ 0 0) into 0
4.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.012 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.013 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 0) into 0
4.013 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
4.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.014 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.015 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.015 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.015 * [backup-simplify]: Simplify (+ 0 0) into 0
4.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.016 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.017 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.017 * [backup-simplify]: Simplify (+ 0 0) into 0
4.018 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
4.018 * [backup-simplify]: Simplify (+ 0 0) into 0
4.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
4.019 * [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))))
4.019 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
4.019 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
4.019 * [taylor]: Taking taylor expansion of 1/6 in ky
4.019 * [backup-simplify]: Simplify 1/6 into 1/6
4.019 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
4.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
4.019 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
4.019 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
4.019 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
4.019 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.019 * [taylor]: Taking taylor expansion of ky in ky
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.020 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
4.020 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.020 * [taylor]: Taking taylor expansion of kx in ky
4.020 * [backup-simplify]: Simplify kx into kx
4.020 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.020 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.020 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.020 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.020 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.020 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
4.020 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
4.020 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
4.020 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
4.020 * [backup-simplify]: Simplify (+ 0) into 0
4.021 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.021 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
4.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
4.022 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.022 * [taylor]: Taking taylor expansion of ky in ky
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 1 into 1
4.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.023 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
4.023 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
4.023 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
4.023 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
4.023 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
4.023 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
4.023 * [taylor]: Taking taylor expansion of 1/6 in kx
4.023 * [backup-simplify]: Simplify 1/6 into 1/6
4.023 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
4.024 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.024 * [taylor]: Taking taylor expansion of kx in kx
4.024 * [backup-simplify]: Simplify 0 into 0
4.024 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.024 * [backup-simplify]: Simplify (/ 1 1) into 1
4.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
4.026 * [backup-simplify]: Simplify (- 0) into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [taylor]: Taking taylor expansion of 0 in kx
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.028 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.029 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.030 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.030 * [backup-simplify]: Simplify (+ 0 0) into 0
4.031 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
4.031 * [backup-simplify]: Simplify (+ 0 0) into 0
4.031 * [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
4.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
4.032 * [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)))))
4.032 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
4.032 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
4.032 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
4.032 * [taylor]: Taking taylor expansion of 1/6 in kx
4.032 * [backup-simplify]: Simplify 1/6 into 1/6
4.032 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
4.032 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.032 * [taylor]: Taking taylor expansion of kx in kx
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.033 * [backup-simplify]: Simplify (/ 1 1) into 1
4.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
4.033 * [taylor]: Taking taylor expansion of 1/2 in kx
4.033 * [backup-simplify]: Simplify 1/2 into 1/2
4.033 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
4.033 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
4.033 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.033 * [taylor]: Taking taylor expansion of kx in kx
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 1 into 1
4.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.034 * [backup-simplify]: Simplify (* 1 1) into 1
4.034 * [backup-simplify]: Simplify (* 1 1) into 1
4.034 * [backup-simplify]: Simplify (/ 1 1) into 1
4.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.036 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
4.036 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
4.039 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
4.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
4.052 * [backup-simplify]: Simplify (+ 0 0) into 0
4.052 * [backup-simplify]: Simplify (- 0) into 0
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
4.056 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
4.056 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
4.056 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
4.056 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
4.056 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
4.056 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
4.056 * [taylor]: Taking taylor expansion of th in kx
4.056 * [backup-simplify]: Simplify th into th
4.056 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.056 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.056 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.056 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.056 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.056 * [taylor]: Taking taylor expansion of ky in kx
4.056 * [backup-simplify]: Simplify ky into ky
4.056 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.056 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.056 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.056 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
4.056 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.057 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
4.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
4.057 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.057 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.057 * [taylor]: Taking taylor expansion of ky in kx
4.057 * [backup-simplify]: Simplify ky into ky
4.057 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.057 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.057 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.057 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.057 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.057 * [taylor]: Taking taylor expansion of ky in kx
4.057 * [backup-simplify]: Simplify ky into ky
4.057 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.057 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.057 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
4.057 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.057 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.057 * [taylor]: Taking taylor expansion of kx in kx
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 1 into 1
4.058 * [backup-simplify]: Simplify (/ 1 1) into 1
4.058 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.058 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.058 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.058 * [taylor]: Taking taylor expansion of kx in kx
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [backup-simplify]: Simplify (/ 1 1) into 1
4.059 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.059 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.059 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.059 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.059 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.059 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.059 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.059 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.059 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.060 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.060 * [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)))
4.060 * [backup-simplify]: Simplify (+ 0) into 0
4.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.062 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (+ 0) into 0
4.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.065 * [backup-simplify]: Simplify (+ 0 0) into 0
4.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.066 * [backup-simplify]: Simplify (+ 0 0) into 0
4.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.066 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.067 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.067 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.067 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.067 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.067 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.067 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.067 * [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)))))
4.067 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
4.067 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
4.067 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
4.067 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
4.067 * [taylor]: Taking taylor expansion of th in ky
4.067 * [backup-simplify]: Simplify th into th
4.067 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.067 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.067 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.067 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.067 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.067 * [taylor]: Taking taylor expansion of ky in ky
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (/ 1 1) into 1
4.068 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.068 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
4.068 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.068 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
4.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
4.068 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.068 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.068 * [taylor]: Taking taylor expansion of ky in ky
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (/ 1 1) into 1
4.068 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.068 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.068 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.068 * [taylor]: Taking taylor expansion of ky in ky
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (/ 1 1) into 1
4.069 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.069 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
4.069 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.069 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.069 * [taylor]: Taking taylor expansion of kx in ky
4.069 * [backup-simplify]: Simplify kx into kx
4.069 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.069 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.069 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.069 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.069 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.069 * [taylor]: Taking taylor expansion of kx in ky
4.069 * [backup-simplify]: Simplify kx into kx
4.069 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.069 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.069 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.069 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.069 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.069 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.069 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.069 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.069 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.069 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.069 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.069 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.070 * [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)))
4.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.070 * [backup-simplify]: Simplify (+ 0) into 0
4.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.071 * [backup-simplify]: Simplify (+ 0 0) into 0
4.072 * [backup-simplify]: Simplify (+ 0) into 0
4.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.073 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.073 * [backup-simplify]: Simplify (+ 0 0) into 0
4.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.074 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.074 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.074 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.074 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.074 * [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)))))
4.074 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
4.074 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
4.074 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
4.074 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.074 * [taylor]: Taking taylor expansion of th in th
4.074 * [backup-simplify]: Simplify 0 into 0
4.074 * [backup-simplify]: Simplify 1 into 1
4.074 * [backup-simplify]: Simplify (/ 1 1) into 1
4.074 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.075 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.075 * [taylor]: Taking taylor expansion of ky in th
4.075 * [backup-simplify]: Simplify ky into ky
4.075 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.075 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.075 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.075 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
4.075 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.075 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
4.075 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
4.075 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.075 * [taylor]: Taking taylor expansion of ky in th
4.075 * [backup-simplify]: Simplify ky into ky
4.075 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.075 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.075 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.075 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.075 * [taylor]: Taking taylor expansion of ky in th
4.075 * [backup-simplify]: Simplify ky into ky
4.075 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.075 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.075 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.075 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
4.075 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.075 * [taylor]: Taking taylor expansion of kx in th
4.075 * [backup-simplify]: Simplify kx into kx
4.075 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.075 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.075 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.075 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.075 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.075 * [taylor]: Taking taylor expansion of kx in th
4.075 * [backup-simplify]: Simplify kx into kx
4.075 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.075 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.076 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.076 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.076 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.076 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.076 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.076 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.076 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.076 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.076 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.076 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.076 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.076 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.076 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.076 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.076 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.076 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.077 * [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)))
4.077 * [backup-simplify]: Simplify (+ 0) into 0
4.077 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.078 * [backup-simplify]: Simplify (+ 0 0) into 0
4.078 * [backup-simplify]: Simplify (+ 0) into 0
4.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.080 * [backup-simplify]: Simplify (+ 0 0) into 0
4.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.080 * [backup-simplify]: Simplify (+ 0) into 0
4.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.081 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.082 * [backup-simplify]: Simplify (+ 0 0) into 0
4.082 * [backup-simplify]: Simplify (+ 0) into 0
4.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.084 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.084 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.084 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.084 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.084 * [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)))))
4.084 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
4.084 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
4.084 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
4.084 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.084 * [taylor]: Taking taylor expansion of th in th
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify 1 into 1
4.084 * [backup-simplify]: Simplify (/ 1 1) into 1
4.084 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.084 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.084 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.085 * [taylor]: Taking taylor expansion of ky in th
4.085 * [backup-simplify]: Simplify ky into ky
4.085 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.085 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.085 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.085 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
4.085 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.085 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
4.085 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
4.085 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.085 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.085 * [taylor]: Taking taylor expansion of ky in th
4.085 * [backup-simplify]: Simplify ky into ky
4.085 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.085 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.085 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.085 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.085 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.085 * [taylor]: Taking taylor expansion of ky in th
4.085 * [backup-simplify]: Simplify ky into ky
4.085 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.085 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.085 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.085 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
4.085 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.085 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.085 * [taylor]: Taking taylor expansion of kx in th
4.085 * [backup-simplify]: Simplify kx into kx
4.085 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.085 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.085 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.085 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.085 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.085 * [taylor]: Taking taylor expansion of kx in th
4.085 * [backup-simplify]: Simplify kx into kx
4.085 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.085 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.085 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.086 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.086 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.086 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.086 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.086 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.086 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.086 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.086 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.086 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.086 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.086 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.086 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.086 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.086 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.086 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.086 * [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)))
4.087 * [backup-simplify]: Simplify (+ 0) into 0
4.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (+ 0) into 0
4.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.090 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.090 * [backup-simplify]: Simplify (+ 0) into 0
4.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.092 * [backup-simplify]: Simplify (+ 0 0) into 0
4.092 * [backup-simplify]: Simplify (+ 0) into 0
4.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.093 * [backup-simplify]: Simplify (+ 0 0) into 0
4.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.094 * [backup-simplify]: Simplify (+ 0 0) into 0
4.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.094 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.094 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.094 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.094 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.094 * [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)))))
4.094 * [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
4.094 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
4.094 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
4.094 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
4.094 * [taylor]: Taking taylor expansion of th in ky
4.094 * [backup-simplify]: Simplify th into th
4.094 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.094 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.094 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.094 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.094 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.095 * [taylor]: Taking taylor expansion of ky in ky
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.095 * [backup-simplify]: Simplify (/ 1 1) into 1
4.095 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
4.095 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
4.095 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
4.095 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
4.095 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.095 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.095 * [taylor]: Taking taylor expansion of kx in ky
4.095 * [backup-simplify]: Simplify kx into kx
4.095 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.095 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.095 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.095 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.095 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.095 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.095 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
4.095 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.095 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.095 * [taylor]: Taking taylor expansion of ky in ky
4.095 * [backup-simplify]: Simplify 0 into 0
4.095 * [backup-simplify]: Simplify 1 into 1
4.096 * [backup-simplify]: Simplify (/ 1 1) into 1
4.096 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.096 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.096 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.096 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.096 * [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)))
4.096 * [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))))
4.096 * [backup-simplify]: Simplify (+ 0) into 0
4.097 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.098 * [backup-simplify]: Simplify (+ 0 0) into 0
4.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.098 * [backup-simplify]: Simplify (+ 0 0) into 0
4.099 * [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
4.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
4.099 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.099 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.099 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.099 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.099 * [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)))))
4.099 * [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
4.099 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
4.099 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
4.099 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
4.099 * [taylor]: Taking taylor expansion of th in kx
4.099 * [backup-simplify]: Simplify th into th
4.099 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.099 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.099 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.099 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.099 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.099 * [taylor]: Taking taylor expansion of ky in kx
4.099 * [backup-simplify]: Simplify ky into ky
4.099 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.099 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.100 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
4.100 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
4.100 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
4.100 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
4.100 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.100 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.100 * [taylor]: Taking taylor expansion of kx in kx
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.100 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
4.100 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.100 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.100 * [taylor]: Taking taylor expansion of ky in kx
4.100 * [backup-simplify]: Simplify ky into ky
4.100 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.100 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.100 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.100 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.100 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.100 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.100 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.101 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.101 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.101 * [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)))
4.101 * [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))))
4.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.101 * [backup-simplify]: Simplify (+ 0) into 0
4.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.103 * [backup-simplify]: Simplify (+ 0 0) into 0
4.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.103 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [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
4.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
4.104 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.104 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.104 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.104 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.104 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.104 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.105 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.105 * [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)))))
4.105 * [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)))))
4.106 * [backup-simplify]: Simplify (+ 0) into 0
4.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.108 * [backup-simplify]: Simplify (+ 0 0) into 0
4.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.109 * [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
4.109 * [taylor]: Taking taylor expansion of 0 in ky
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [taylor]: Taking taylor expansion of 0 in kx
4.109 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify (+ 0) into 0
4.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
4.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
4.112 * [backup-simplify]: Simplify (+ 0 0) into 0
4.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.112 * [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
4.112 * [taylor]: Taking taylor expansion of 0 in kx
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify (+ 0) into 0
4.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify (+ 0) into 0
4.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.118 * [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
4.118 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.122 * [backup-simplify]: Simplify (+ 0 0) into 0
4.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.126 * [backup-simplify]: Simplify (+ 0 0) into 0
4.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.130 * [backup-simplify]: Simplify (+ 0 0) into 0
4.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.132 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.134 * [backup-simplify]: Simplify (+ 0 0) into 0
4.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.135 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.137 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.139 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.140 * [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
4.140 * [taylor]: Taking taylor expansion of 0 in ky
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [taylor]: Taking taylor expansion of 0 in kx
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [taylor]: Taking taylor expansion of 0 in kx
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.144 * [backup-simplify]: Simplify (+ 0 0) into 0
4.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.145 * [backup-simplify]: Simplify (+ 0 0) into 0
4.146 * [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
4.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
4.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.150 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.151 * [backup-simplify]: Simplify (+ 0 0) into 0
4.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.152 * [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
4.152 * [taylor]: Taking taylor expansion of 0 in kx
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [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)))
4.153 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
4.153 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
4.153 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
4.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
4.153 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
4.154 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
4.154 * [taylor]: Taking taylor expansion of -1 in kx
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [taylor]: Taking taylor expansion of th in kx
4.154 * [backup-simplify]: Simplify th into th
4.154 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.154 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.154 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.154 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.154 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.154 * [taylor]: Taking taylor expansion of -1 in kx
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [taylor]: Taking taylor expansion of ky in kx
4.154 * [backup-simplify]: Simplify ky into ky
4.154 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.154 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.154 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.154 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
4.154 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.154 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
4.154 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
4.154 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.154 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.154 * [taylor]: Taking taylor expansion of -1 in kx
4.154 * [backup-simplify]: Simplify -1 into -1
4.154 * [taylor]: Taking taylor expansion of ky in kx
4.154 * [backup-simplify]: Simplify ky into ky
4.155 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.155 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.155 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.155 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.155 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.155 * [taylor]: Taking taylor expansion of -1 in kx
4.155 * [backup-simplify]: Simplify -1 into -1
4.155 * [taylor]: Taking taylor expansion of ky in kx
4.155 * [backup-simplify]: Simplify ky into ky
4.155 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.155 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.155 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.155 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
4.155 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.155 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.155 * [taylor]: Taking taylor expansion of -1 in kx
4.155 * [backup-simplify]: Simplify -1 into -1
4.155 * [taylor]: Taking taylor expansion of kx in kx
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ -1 1) into -1
4.156 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.156 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.156 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.156 * [taylor]: Taking taylor expansion of -1 in kx
4.156 * [backup-simplify]: Simplify -1 into -1
4.156 * [taylor]: Taking taylor expansion of kx in kx
4.156 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify 1 into 1
4.156 * [backup-simplify]: Simplify (/ -1 1) into -1
4.157 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.157 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.157 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.157 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.157 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.157 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.157 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.157 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.157 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.158 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.158 * [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)))
4.158 * [backup-simplify]: Simplify (+ 0) into 0
4.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.159 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.160 * [backup-simplify]: Simplify (+ 0 0) into 0
4.161 * [backup-simplify]: Simplify (+ 0) into 0
4.161 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.161 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.164 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.164 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.164 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.164 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.164 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.164 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.164 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.164 * [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)))))
4.164 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
4.164 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
4.164 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
4.164 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
4.164 * [taylor]: Taking taylor expansion of -1 in ky
4.164 * [backup-simplify]: Simplify -1 into -1
4.164 * [taylor]: Taking taylor expansion of th in ky
4.164 * [backup-simplify]: Simplify th into th
4.164 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.164 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.164 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.164 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.164 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.164 * [taylor]: Taking taylor expansion of -1 in ky
4.164 * [backup-simplify]: Simplify -1 into -1
4.164 * [taylor]: Taking taylor expansion of ky in ky
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.165 * [backup-simplify]: Simplify (/ -1 1) into -1
4.165 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.165 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
4.165 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.165 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
4.165 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
4.165 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.165 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.165 * [taylor]: Taking taylor expansion of -1 in ky
4.165 * [backup-simplify]: Simplify -1 into -1
4.165 * [taylor]: Taking taylor expansion of ky in ky
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 1 into 1
4.165 * [backup-simplify]: Simplify (/ -1 1) into -1
4.166 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.166 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.166 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.166 * [taylor]: Taking taylor expansion of -1 in ky
4.166 * [backup-simplify]: Simplify -1 into -1
4.166 * [taylor]: Taking taylor expansion of ky in ky
4.166 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify 1 into 1
4.166 * [backup-simplify]: Simplify (/ -1 1) into -1
4.166 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.166 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
4.166 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.166 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.166 * [taylor]: Taking taylor expansion of -1 in ky
4.166 * [backup-simplify]: Simplify -1 into -1
4.166 * [taylor]: Taking taylor expansion of kx in ky
4.166 * [backup-simplify]: Simplify kx into kx
4.166 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.166 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.166 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.166 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.166 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.166 * [taylor]: Taking taylor expansion of -1 in ky
4.166 * [backup-simplify]: Simplify -1 into -1
4.166 * [taylor]: Taking taylor expansion of kx in ky
4.166 * [backup-simplify]: Simplify kx into kx
4.166 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.166 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.166 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.166 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.167 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.167 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.167 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.167 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.167 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.167 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.167 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.167 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.167 * [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)))
4.167 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.168 * [backup-simplify]: Simplify (+ 0) into 0
4.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.168 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.169 * [backup-simplify]: Simplify (+ 0 0) into 0
4.169 * [backup-simplify]: Simplify (+ 0) into 0
4.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.171 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.171 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.171 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.171 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.171 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.171 * [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)))))
4.172 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
4.172 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
4.172 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
4.172 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.172 * [taylor]: Taking taylor expansion of -1 in th
4.172 * [backup-simplify]: Simplify -1 into -1
4.172 * [taylor]: Taking taylor expansion of th in th
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify 1 into 1
4.172 * [backup-simplify]: Simplify (/ -1 1) into -1
4.172 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.172 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.172 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.172 * [taylor]: Taking taylor expansion of -1 in th
4.172 * [backup-simplify]: Simplify -1 into -1
4.172 * [taylor]: Taking taylor expansion of ky in th
4.172 * [backup-simplify]: Simplify ky into ky
4.172 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.172 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.172 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.172 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
4.172 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.172 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
4.172 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
4.172 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.172 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.172 * [taylor]: Taking taylor expansion of -1 in th
4.172 * [backup-simplify]: Simplify -1 into -1
4.172 * [taylor]: Taking taylor expansion of ky in th
4.172 * [backup-simplify]: Simplify ky into ky
4.172 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.172 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.173 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.173 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.173 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.173 * [taylor]: Taking taylor expansion of -1 in th
4.173 * [backup-simplify]: Simplify -1 into -1
4.173 * [taylor]: Taking taylor expansion of ky in th
4.173 * [backup-simplify]: Simplify ky into ky
4.173 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.173 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.173 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.173 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
4.173 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.173 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.173 * [taylor]: Taking taylor expansion of -1 in th
4.173 * [backup-simplify]: Simplify -1 into -1
4.173 * [taylor]: Taking taylor expansion of kx in th
4.173 * [backup-simplify]: Simplify kx into kx
4.173 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.173 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.173 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.173 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.173 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.173 * [taylor]: Taking taylor expansion of -1 in th
4.173 * [backup-simplify]: Simplify -1 into -1
4.173 * [taylor]: Taking taylor expansion of kx in th
4.173 * [backup-simplify]: Simplify kx into kx
4.173 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.173 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.173 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.173 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.173 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.173 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.173 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.173 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.173 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.174 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.174 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.174 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.174 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.174 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.174 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.174 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.174 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.174 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.174 * [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)))
4.174 * [backup-simplify]: Simplify (+ 0) into 0
4.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.175 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.177 * [backup-simplify]: Simplify (+ 0 0) into 0
4.178 * [backup-simplify]: Simplify (+ 0) into 0
4.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.178 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.179 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.179 * [backup-simplify]: Simplify (+ 0) into 0
4.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.180 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.181 * [backup-simplify]: Simplify (+ 0 0) into 0
4.181 * [backup-simplify]: Simplify (+ 0) into 0
4.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.181 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.182 * [backup-simplify]: Simplify (+ 0 0) into 0
4.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.183 * [backup-simplify]: Simplify (+ 0 0) into 0
4.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.183 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.183 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.183 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.183 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.183 * [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)))))
4.183 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
4.183 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
4.183 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
4.183 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.183 * [taylor]: Taking taylor expansion of -1 in th
4.183 * [backup-simplify]: Simplify -1 into -1
4.183 * [taylor]: Taking taylor expansion of th in th
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (/ -1 1) into -1
4.184 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.184 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.184 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.184 * [taylor]: Taking taylor expansion of -1 in th
4.184 * [backup-simplify]: Simplify -1 into -1
4.184 * [taylor]: Taking taylor expansion of ky in th
4.184 * [backup-simplify]: Simplify ky into ky
4.184 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.184 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.184 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.184 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
4.184 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.184 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
4.184 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
4.184 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.184 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.184 * [taylor]: Taking taylor expansion of -1 in th
4.184 * [backup-simplify]: Simplify -1 into -1
4.184 * [taylor]: Taking taylor expansion of ky in th
4.184 * [backup-simplify]: Simplify ky into ky
4.184 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.184 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.184 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.184 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.184 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.184 * [taylor]: Taking taylor expansion of -1 in th
4.184 * [backup-simplify]: Simplify -1 into -1
4.184 * [taylor]: Taking taylor expansion of ky in th
4.184 * [backup-simplify]: Simplify ky into ky
4.184 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.184 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.185 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.185 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
4.185 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.185 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.185 * [taylor]: Taking taylor expansion of -1 in th
4.185 * [backup-simplify]: Simplify -1 into -1
4.185 * [taylor]: Taking taylor expansion of kx in th
4.185 * [backup-simplify]: Simplify kx into kx
4.185 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.185 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.185 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.185 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.185 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.185 * [taylor]: Taking taylor expansion of -1 in th
4.185 * [backup-simplify]: Simplify -1 into -1
4.185 * [taylor]: Taking taylor expansion of kx in th
4.185 * [backup-simplify]: Simplify kx into kx
4.185 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.185 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.185 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.185 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.185 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.185 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.185 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.185 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.185 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.185 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.185 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.185 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.185 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.186 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.186 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.186 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.186 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.186 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.186 * [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)))
4.186 * [backup-simplify]: Simplify (+ 0) into 0
4.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.187 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.188 * [backup-simplify]: Simplify (+ 0 0) into 0
4.188 * [backup-simplify]: Simplify (+ 0) into 0
4.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.190 * [backup-simplify]: Simplify (+ 0) into 0
4.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.190 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.191 * [backup-simplify]: Simplify (+ 0 0) into 0
4.191 * [backup-simplify]: Simplify (+ 0) into 0
4.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.192 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.193 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.193 * [backup-simplify]: Simplify (+ 0 0) into 0
4.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.193 * [backup-simplify]: Simplify (+ 0 0) into 0
4.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.193 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.194 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.194 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.194 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.194 * [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)))))
4.194 * [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
4.194 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
4.194 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
4.194 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
4.194 * [taylor]: Taking taylor expansion of -1 in ky
4.194 * [backup-simplify]: Simplify -1 into -1
4.194 * [taylor]: Taking taylor expansion of th in ky
4.194 * [backup-simplify]: Simplify th into th
4.194 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.194 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.194 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.194 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.194 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.194 * [taylor]: Taking taylor expansion of -1 in ky
4.194 * [backup-simplify]: Simplify -1 into -1
4.194 * [taylor]: Taking taylor expansion of ky in ky
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 1 into 1
4.195 * [backup-simplify]: Simplify (/ -1 1) into -1
4.195 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
4.195 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
4.195 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
4.195 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
4.195 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.195 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.195 * [taylor]: Taking taylor expansion of -1 in ky
4.195 * [backup-simplify]: Simplify -1 into -1
4.195 * [taylor]: Taking taylor expansion of kx in ky
4.195 * [backup-simplify]: Simplify kx into kx
4.195 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.195 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.195 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.195 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.195 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.195 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.195 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
4.195 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.195 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.195 * [taylor]: Taking taylor expansion of -1 in ky
4.195 * [backup-simplify]: Simplify -1 into -1
4.195 * [taylor]: Taking taylor expansion of ky in ky
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [backup-simplify]: Simplify (/ -1 1) into -1
4.196 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.196 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.196 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.197 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.197 * [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)))
4.197 * [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))))
4.197 * [backup-simplify]: Simplify (+ 0) into 0
4.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.198 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.199 * [backup-simplify]: Simplify (+ 0 0) into 0
4.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.200 * [backup-simplify]: Simplify (+ 0 0) into 0
4.200 * [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
4.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
4.200 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.200 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.200 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.200 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.201 * [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)))))
4.201 * [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
4.201 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
4.201 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
4.201 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
4.201 * [taylor]: Taking taylor expansion of -1 in kx
4.201 * [backup-simplify]: Simplify -1 into -1
4.201 * [taylor]: Taking taylor expansion of th in kx
4.201 * [backup-simplify]: Simplify th into th
4.201 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.201 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.201 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.201 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.201 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.201 * [taylor]: Taking taylor expansion of -1 in kx
4.201 * [backup-simplify]: Simplify -1 into -1
4.201 * [taylor]: Taking taylor expansion of ky in kx
4.201 * [backup-simplify]: Simplify ky into ky
4.201 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.201 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.201 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
4.201 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
4.201 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
4.201 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
4.201 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.201 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.201 * [taylor]: Taking taylor expansion of -1 in kx
4.201 * [backup-simplify]: Simplify -1 into -1
4.201 * [taylor]: Taking taylor expansion of kx in kx
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify 1 into 1
4.202 * [backup-simplify]: Simplify (/ -1 1) into -1
4.202 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.202 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
4.202 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.202 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.202 * [taylor]: Taking taylor expansion of -1 in kx
4.202 * [backup-simplify]: Simplify -1 into -1
4.202 * [taylor]: Taking taylor expansion of ky in kx
4.202 * [backup-simplify]: Simplify ky into ky
4.202 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.202 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.202 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.202 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.202 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.202 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.202 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.202 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.202 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.202 * [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)))
4.203 * [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))))
4.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.203 * [backup-simplify]: Simplify (+ 0) into 0
4.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.203 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.204 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [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
4.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
4.206 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.206 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.206 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.206 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.206 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.206 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.206 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.206 * [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)))))
4.206 * [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)))))
4.207 * [backup-simplify]: Simplify (+ 0) into 0
4.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.207 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.208 * [backup-simplify]: Simplify (+ 0 0) into 0
4.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.209 * [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
4.209 * [taylor]: Taking taylor expansion of 0 in ky
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [taylor]: Taking taylor expansion of 0 in kx
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify (+ 0) into 0
4.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
4.209 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
4.210 * [backup-simplify]: Simplify (+ 0 0) into 0
4.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.211 * [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
4.211 * [taylor]: Taking taylor expansion of 0 in kx
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify (+ 0) into 0
4.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.212 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.212 * [backup-simplify]: Simplify (+ 0 0) into 0
4.213 * [backup-simplify]: Simplify (+ 0) into 0
4.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
4.213 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
4.214 * [backup-simplify]: Simplify (+ 0 0) into 0
4.214 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.214 * [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
4.214 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.215 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.216 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.217 * [backup-simplify]: Simplify (+ 0 0) into 0
4.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.218 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.218 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.218 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.219 * [backup-simplify]: Simplify (+ 0 0) into 0
4.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.220 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.220 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.222 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.224 * [backup-simplify]: Simplify (+ 0 0) into 0
4.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.226 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.228 * [backup-simplify]: Simplify (+ 0 0) into 0
4.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.228 * [backup-simplify]: Simplify (+ 0 0) into 0
4.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.231 * [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
4.231 * [taylor]: Taking taylor expansion of 0 in ky
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [taylor]: Taking taylor expansion of 0 in kx
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [taylor]: Taking taylor expansion of 0 in kx
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.234 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.235 * [backup-simplify]: Simplify (+ 0 0) into 0
4.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.236 * [backup-simplify]: Simplify (+ 0 0) into 0
4.237 * [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
4.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
4.239 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.240 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.242 * [backup-simplify]: Simplify (+ 0 0) into 0
4.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.243 * [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
4.243 * [taylor]: Taking taylor expansion of 0 in kx
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 0 into 0
4.244 * [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)))
4.244 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2)
4.244 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
4.244 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
4.244 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
4.244 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
4.244 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
4.244 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
4.244 * [taylor]: Taking taylor expansion of (sin ky) in kx
4.244 * [taylor]: Taking taylor expansion of ky in kx
4.244 * [backup-simplify]: Simplify ky into ky
4.245 * [backup-simplify]: Simplify (sin ky) into (sin ky)
4.245 * [backup-simplify]: Simplify (cos ky) into (cos ky)
4.245 * [taylor]: Taking taylor expansion of (sin ky) in kx
4.245 * [taylor]: Taking taylor expansion of ky in kx
4.245 * [backup-simplify]: Simplify ky into ky
4.245 * [backup-simplify]: Simplify (sin ky) into (sin ky)
4.245 * [backup-simplify]: Simplify (cos ky) into (cos ky)
4.245 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
4.245 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.245 * [taylor]: Taking taylor expansion of kx in kx
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.245 * [taylor]: Taking taylor expansion of kx in kx
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
4.245 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
4.245 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
4.245 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
4.245 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
4.245 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
4.246 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
4.246 * [backup-simplify]: Simplify (* 0 0) into 0
4.246 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
4.246 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
4.247 * [backup-simplify]: Simplify (+ 0) into 0
4.247 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
4.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.249 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
4.249 * [backup-simplify]: Simplify (+ 0 0) into 0
4.249 * [backup-simplify]: Simplify (+ 0) into 0
4.250 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
4.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.251 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
4.252 * [backup-simplify]: Simplify (+ 0 0) into 0
4.252 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
4.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.254 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.254 * [backup-simplify]: Simplify (+ 0 0) into 0
4.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
4.255 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
4.255 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
4.255 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
4.255 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
4.255 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.255 * [taylor]: Taking taylor expansion of ky in ky
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 1 into 1
4.255 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.255 * [taylor]: Taking taylor expansion of ky in ky
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 1 into 1
4.255 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
4.255 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.255 * [taylor]: Taking taylor expansion of kx in ky
4.255 * [backup-simplify]: Simplify kx into kx
4.255 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.255 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.255 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.255 * [taylor]: Taking taylor expansion of kx in ky
4.255 * [backup-simplify]: Simplify kx into kx
4.255 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.255 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.256 * [backup-simplify]: Simplify (* 0 0) into 0
4.256 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.256 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.256 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.256 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.256 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.256 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.256 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
4.256 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
4.256 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
4.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.259 * [backup-simplify]: Simplify (+ 0) into 0
4.260 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.261 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.261 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (+ 0) into 0
4.262 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.264 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.264 * [backup-simplify]: Simplify (+ 0 0) into 0
4.264 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
4.265 * [backup-simplify]: Simplify (+ 0 0) into 0
4.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
4.265 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
4.265 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
4.265 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
4.265 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
4.265 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.265 * [taylor]: Taking taylor expansion of ky in ky
4.265 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify 1 into 1
4.265 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.265 * [taylor]: Taking taylor expansion of ky in ky
4.265 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify 1 into 1
4.265 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
4.265 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.265 * [taylor]: Taking taylor expansion of kx in ky
4.265 * [backup-simplify]: Simplify kx into kx
4.265 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.265 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.265 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.265 * [taylor]: Taking taylor expansion of kx in ky
4.265 * [backup-simplify]: Simplify kx into kx
4.265 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.265 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.266 * [backup-simplify]: Simplify (* 0 0) into 0
4.266 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.266 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.266 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.266 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.266 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.266 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.266 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
4.267 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
4.267 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
4.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.269 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.269 * [backup-simplify]: Simplify (+ 0) into 0
4.270 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.271 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.271 * [backup-simplify]: Simplify (+ 0 0) into 0
4.272 * [backup-simplify]: Simplify (+ 0) into 0
4.272 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.273 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.274 * [backup-simplify]: Simplify (+ 0 0) into 0
4.274 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
4.274 * [backup-simplify]: Simplify (+ 0 0) into 0
4.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
4.275 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.275 * [taylor]: Taking taylor expansion of kx in kx
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 1 into 1
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [taylor]: Taking taylor expansion of 0 in kx
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.276 * [backup-simplify]: Simplify 1 into 1
4.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.278 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.280 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.281 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.282 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.282 * [backup-simplify]: Simplify (+ 0 0) into 0
4.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.284 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.285 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.285 * [backup-simplify]: Simplify (+ 0 0) into 0
4.286 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
4.286 * [backup-simplify]: Simplify (+ 1 0) into 1
4.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
4.287 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
4.287 * [taylor]: Taking taylor expansion of 1/2 in kx
4.287 * [backup-simplify]: Simplify 1/2 into 1/2
4.287 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.287 * [taylor]: Taking taylor expansion of kx in kx
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 1 into 1
4.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.289 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.289 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.292 * [backup-simplify]: Simplify 0 into 0
4.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.296 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
4.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.298 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.301 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.303 * [backup-simplify]: Simplify (+ 0 0) into 0
4.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.305 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.308 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.308 * [backup-simplify]: Simplify (+ 0 0) into 0
4.310 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
4.310 * [backup-simplify]: Simplify (+ 0 0) into 0
4.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
4.310 * [taylor]: Taking taylor expansion of 0 in kx
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
4.314 * [backup-simplify]: Simplify 1/12 into 1/12
4.314 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.315 * [backup-simplify]: Simplify -1/6 into -1/6
4.316 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* kx 1) 3)) (+ (* 1/12 (* kx (pow ky 2))) (* 1 (* kx 1)))) into (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
4.316 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
4.316 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
4.316 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
4.316 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.316 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
4.316 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
4.316 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.316 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.316 * [taylor]: Taking taylor expansion of ky in kx
4.316 * [backup-simplify]: Simplify ky into ky
4.316 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.317 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.317 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.317 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.317 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.317 * [taylor]: Taking taylor expansion of ky in kx
4.317 * [backup-simplify]: Simplify ky into ky
4.317 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.317 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.317 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.317 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
4.317 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.317 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.317 * [taylor]: Taking taylor expansion of kx in kx
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify (/ 1 1) into 1
4.318 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.318 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.318 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.318 * [taylor]: Taking taylor expansion of kx in kx
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify (/ 1 1) into 1
4.318 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.318 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.319 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.319 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.319 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.319 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.319 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.319 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.319 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.319 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.320 * [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)))
4.320 * [backup-simplify]: Simplify (+ 0) into 0
4.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.322 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.323 * [backup-simplify]: Simplify (+ 0 0) into 0
4.323 * [backup-simplify]: Simplify (+ 0) into 0
4.324 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.325 * [backup-simplify]: Simplify (+ 0 0) into 0
4.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.326 * [backup-simplify]: Simplify (+ 0 0) into 0
4.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.326 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
4.326 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.326 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
4.327 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
4.327 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.327 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.327 * [taylor]: Taking taylor expansion of ky in ky
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [backup-simplify]: Simplify (/ 1 1) into 1
4.327 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.327 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.327 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.327 * [taylor]: Taking taylor expansion of ky in ky
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.328 * [backup-simplify]: Simplify (/ 1 1) into 1
4.328 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.328 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
4.328 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.328 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.328 * [taylor]: Taking taylor expansion of kx in ky
4.328 * [backup-simplify]: Simplify kx into kx
4.328 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.328 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.328 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.328 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.328 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.328 * [taylor]: Taking taylor expansion of kx in ky
4.328 * [backup-simplify]: Simplify kx into kx
4.328 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.328 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.328 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.329 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.329 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.329 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.329 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.329 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.329 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.329 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.329 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.330 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.330 * [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)))
4.330 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.330 * [backup-simplify]: Simplify (+ 0) into 0
4.331 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.332 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.333 * [backup-simplify]: Simplify (+ 0 0) into 0
4.333 * [backup-simplify]: Simplify (+ 0) into 0
4.334 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.336 * [backup-simplify]: Simplify (+ 0 0) into 0
4.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.336 * [backup-simplify]: Simplify (+ 0 0) into 0
4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.337 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
4.337 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.337 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
4.337 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
4.337 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.337 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.337 * [taylor]: Taking taylor expansion of ky in ky
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 1 into 1
4.337 * [backup-simplify]: Simplify (/ 1 1) into 1
4.337 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.337 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.337 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.337 * [taylor]: Taking taylor expansion of ky in ky
4.337 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [backup-simplify]: Simplify (/ 1 1) into 1
4.338 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.338 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
4.338 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.338 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.338 * [taylor]: Taking taylor expansion of kx in ky
4.338 * [backup-simplify]: Simplify kx into kx
4.338 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.338 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.338 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.338 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.338 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.338 * [taylor]: Taking taylor expansion of kx in ky
4.338 * [backup-simplify]: Simplify kx into kx
4.339 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.339 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.339 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.339 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.339 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.339 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.339 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.339 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.339 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.339 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.339 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.340 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.340 * [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)))
4.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.341 * [backup-simplify]: Simplify (+ 0) into 0
4.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.343 * [backup-simplify]: Simplify (+ 0 0) into 0
4.344 * [backup-simplify]: Simplify (+ 0) into 0
4.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.346 * [backup-simplify]: Simplify (+ 0 0) into 0
4.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.347 * [backup-simplify]: Simplify (+ 0 0) into 0
4.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.347 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
4.347 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
4.347 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
4.347 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.347 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.347 * [taylor]: Taking taylor expansion of kx in kx
4.347 * [backup-simplify]: Simplify 0 into 0
4.347 * [backup-simplify]: Simplify 1 into 1
4.348 * [backup-simplify]: Simplify (/ 1 1) into 1
4.348 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.348 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
4.348 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.348 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.348 * [taylor]: Taking taylor expansion of ky in kx
4.348 * [backup-simplify]: Simplify ky into ky
4.348 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.348 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.348 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.348 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.348 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.349 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.349 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.349 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.349 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.349 * [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)))
4.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.350 * [backup-simplify]: Simplify (+ 0) into 0
4.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.352 * [backup-simplify]: Simplify (+ 0 0) into 0
4.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.353 * [backup-simplify]: Simplify (+ 0 0) into 0
4.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.353 * [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)))
4.354 * [taylor]: Taking taylor expansion of 0 in kx
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.356 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.357 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.358 * [backup-simplify]: Simplify (+ 0 0) into 0
4.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.361 * [backup-simplify]: Simplify (+ 0 0) into 0
4.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.362 * [backup-simplify]: Simplify (+ 0 0) into 0
4.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.363 * [taylor]: Taking taylor expansion of 0 in kx
4.363 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.368 * [backup-simplify]: Simplify (+ 0 0) into 0
4.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.368 * [backup-simplify]: Simplify (+ 0 0) into 0
4.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.369 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
4.372 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.375 * [backup-simplify]: Simplify (+ 0 0) into 0
4.376 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.377 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.380 * [backup-simplify]: Simplify (+ 0 0) into 0
4.381 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
4.382 * [backup-simplify]: Simplify (+ 0 0) into 0
4.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.383 * [taylor]: Taking taylor expansion of 0 in kx
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [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)))
4.383 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
4.384 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
4.384 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
4.384 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.384 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
4.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
4.384 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.384 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.384 * [taylor]: Taking taylor expansion of -1 in kx
4.384 * [backup-simplify]: Simplify -1 into -1
4.384 * [taylor]: Taking taylor expansion of ky in kx
4.384 * [backup-simplify]: Simplify ky into ky
4.384 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.384 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.384 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.384 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.384 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.384 * [taylor]: Taking taylor expansion of -1 in kx
4.384 * [backup-simplify]: Simplify -1 into -1
4.384 * [taylor]: Taking taylor expansion of ky in kx
4.384 * [backup-simplify]: Simplify ky into ky
4.384 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.384 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.384 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
4.385 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.385 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.385 * [taylor]: Taking taylor expansion of -1 in kx
4.385 * [backup-simplify]: Simplify -1 into -1
4.385 * [taylor]: Taking taylor expansion of kx in kx
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 1 into 1
4.385 * [backup-simplify]: Simplify (/ -1 1) into -1
4.385 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.385 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.385 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.385 * [taylor]: Taking taylor expansion of -1 in kx
4.385 * [backup-simplify]: Simplify -1 into -1
4.385 * [taylor]: Taking taylor expansion of kx in kx
4.385 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify 1 into 1
4.386 * [backup-simplify]: Simplify (/ -1 1) into -1
4.386 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.386 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.386 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.386 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.386 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.386 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.387 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.387 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.387 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.387 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.387 * [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)))
4.388 * [backup-simplify]: Simplify (+ 0) into 0
4.388 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.388 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.390 * [backup-simplify]: Simplify (+ 0 0) into 0
4.391 * [backup-simplify]: Simplify (+ 0) into 0
4.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.391 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.393 * [backup-simplify]: Simplify (+ 0 0) into 0
4.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.394 * [backup-simplify]: Simplify (+ 0 0) into 0
4.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.394 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
4.394 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.394 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
4.395 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
4.395 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.395 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.395 * [taylor]: Taking taylor expansion of -1 in ky
4.395 * [backup-simplify]: Simplify -1 into -1
4.395 * [taylor]: Taking taylor expansion of ky in ky
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 1 into 1
4.395 * [backup-simplify]: Simplify (/ -1 1) into -1
4.395 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.395 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.395 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.395 * [taylor]: Taking taylor expansion of -1 in ky
4.395 * [backup-simplify]: Simplify -1 into -1
4.395 * [taylor]: Taking taylor expansion of ky in ky
4.395 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify 1 into 1
4.396 * [backup-simplify]: Simplify (/ -1 1) into -1
4.396 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.396 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
4.396 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.396 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.396 * [taylor]: Taking taylor expansion of -1 in ky
4.396 * [backup-simplify]: Simplify -1 into -1
4.396 * [taylor]: Taking taylor expansion of kx in ky
4.396 * [backup-simplify]: Simplify kx into kx
4.396 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.396 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.396 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.397 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.397 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.397 * [taylor]: Taking taylor expansion of -1 in ky
4.397 * [backup-simplify]: Simplify -1 into -1
4.397 * [taylor]: Taking taylor expansion of kx in ky
4.397 * [backup-simplify]: Simplify kx into kx
4.397 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.397 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.397 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.397 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.397 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.397 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.397 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.397 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.398 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.398 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.398 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.398 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.398 * [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)))
4.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.399 * [backup-simplify]: Simplify (+ 0) into 0
4.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.400 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.401 * [backup-simplify]: Simplify (+ 0 0) into 0
4.402 * [backup-simplify]: Simplify (+ 0) into 0
4.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.403 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.404 * [backup-simplify]: Simplify (+ 0 0) into 0
4.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.405 * [backup-simplify]: Simplify (+ 0 0) into 0
4.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.405 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
4.405 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.405 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
4.405 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
4.405 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.406 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.406 * [taylor]: Taking taylor expansion of -1 in ky
4.406 * [backup-simplify]: Simplify -1 into -1
4.406 * [taylor]: Taking taylor expansion of ky in ky
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 1 into 1
4.406 * [backup-simplify]: Simplify (/ -1 1) into -1
4.406 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.406 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.406 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.406 * [taylor]: Taking taylor expansion of -1 in ky
4.406 * [backup-simplify]: Simplify -1 into -1
4.406 * [taylor]: Taking taylor expansion of ky in ky
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 1 into 1
4.407 * [backup-simplify]: Simplify (/ -1 1) into -1
4.407 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.407 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
4.407 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.407 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.407 * [taylor]: Taking taylor expansion of -1 in ky
4.407 * [backup-simplify]: Simplify -1 into -1
4.407 * [taylor]: Taking taylor expansion of kx in ky
4.407 * [backup-simplify]: Simplify kx into kx
4.407 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.407 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.407 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.407 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.407 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.408 * [taylor]: Taking taylor expansion of -1 in ky
4.408 * [backup-simplify]: Simplify -1 into -1
4.408 * [taylor]: Taking taylor expansion of kx in ky
4.408 * [backup-simplify]: Simplify kx into kx
4.408 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.408 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.408 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.408 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.408 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.408 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.408 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.408 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.408 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.409 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.409 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.409 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.409 * [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)))
4.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.410 * [backup-simplify]: Simplify (+ 0) into 0
4.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.411 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.412 * [backup-simplify]: Simplify (+ 0 0) into 0
4.413 * [backup-simplify]: Simplify (+ 0) into 0
4.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.413 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.415 * [backup-simplify]: Simplify (+ 0 0) into 0
4.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.416 * [backup-simplify]: Simplify (+ 0 0) into 0
4.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
4.417 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
4.417 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
4.417 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.417 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.417 * [taylor]: Taking taylor expansion of -1 in kx
4.417 * [backup-simplify]: Simplify -1 into -1
4.417 * [taylor]: Taking taylor expansion of kx in kx
4.417 * [backup-simplify]: Simplify 0 into 0
4.417 * [backup-simplify]: Simplify 1 into 1
4.417 * [backup-simplify]: Simplify (/ -1 1) into -1
4.417 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.417 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
4.417 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.418 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.418 * [taylor]: Taking taylor expansion of -1 in kx
4.418 * [backup-simplify]: Simplify -1 into -1
4.418 * [taylor]: Taking taylor expansion of ky in kx
4.418 * [backup-simplify]: Simplify ky into ky
4.418 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.418 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.418 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.418 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.418 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.418 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.418 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.418 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.419 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.419 * [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)))
4.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.420 * [backup-simplify]: Simplify (+ 0) into 0
4.420 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.420 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.422 * [backup-simplify]: Simplify (+ 0 0) into 0
4.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.423 * [backup-simplify]: Simplify (+ 0 0) into 0
4.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.423 * [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)))
4.423 * [taylor]: Taking taylor expansion of 0 in kx
4.423 * [backup-simplify]: Simplify 0 into 0
4.423 * [backup-simplify]: Simplify 0 into 0
4.423 * [backup-simplify]: Simplify 0 into 0
4.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.426 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.427 * [backup-simplify]: Simplify (+ 0 0) into 0
4.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.429 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.431 * [backup-simplify]: Simplify (+ 0 0) into 0
4.431 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.432 * [backup-simplify]: Simplify (+ 0 0) into 0
4.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.433 * [taylor]: Taking taylor expansion of 0 in kx
4.433 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.435 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.436 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.436 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.437 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.438 * [backup-simplify]: Simplify (+ 0 0) into 0
4.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.439 * [backup-simplify]: Simplify (+ 0 0) into 0
4.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
4.441 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.443 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.445 * [backup-simplify]: Simplify (+ 0 0) into 0
4.446 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.447 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.450 * [backup-simplify]: Simplify (+ 0 0) into 0
4.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
4.451 * [backup-simplify]: Simplify (+ 0 0) into 0
4.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.453 * [taylor]: Taking taylor expansion of 0 in kx
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [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)))
4.453 * * * [progress]: simplifying candidates
4.453 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.453 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1)))>
4.454 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 9 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 10 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- (sin ky)) (- (hypot (sin ky) (sin kx))))))>
4.454 * * * * [progress]: [ 12 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 13 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))))>
4.454 * * * * [progress]: [ 15 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))))>
4.454 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))))>
4.455 * * * * [progress]: [ 18 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))))>
4.455 * * * * [progress]: [ 19 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))>
4.455 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.455 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.455 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))))>
4.455 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
4.455 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (hypot (sin ky) (sin kx))))))>
4.455 * * * * [progress]: [ 25 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (hypot (sin ky) (sin kx))))))>
4.455 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) 1) (hypot (sin ky) (sin kx)))))>
4.455 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
4.455 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt (sin ky)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
4.455 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
4.455 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.455 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
4.456 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
4.456 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 42 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 43 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.456 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.456 * * * * [progress]: [ 45 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.457 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))))>
4.457 * * * * [progress]: [ 47 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.457 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.457 * * * * [progress]: [ 49 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))>
4.457 * * * * [progress]: [ 50 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))>
4.457 * * * * [progress]: [ 51 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))>
4.457 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))>
4.457 * * * * [progress]: [ 53 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))>
4.457 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) 1)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))>
4.457 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))>
4.458 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))>
4.458 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
4.458 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
4.458 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sin ky)) (/ 1 (hypot (sin ky) (sin kx)))))>
4.458 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.458 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.458 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.458 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))>
4.458 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.458 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))>
4.458 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log1p (expm1 (hypot (sin ky) (sin kx)))))))>
4.458 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (expm1 (log1p (hypot (sin ky) (sin kx)))))))>
4.458 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))>
4.458 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (pow (hypot (sin ky) (sin kx)) 1))))>
4.458 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (exp (log (hypot (sin ky) (sin kx)))))))>
4.459 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log (exp (hypot (sin ky) (sin kx)))))))>
4.459 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))))>
4.459 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))))>
4.459 * * * * [progress]: [ 74 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx)))))))>
4.459 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))>
4.459 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))>
4.459 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))))>
4.459 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
4.459 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
4.459 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
4.459 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
4.459 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
4.459 * * * * [progress]: [ 83 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))))))>
4.459 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
4.459 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
4.461 * [simplify]: Simplifying:
  (expm1 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log1p (/ (sin ky) (hypot (sin ky) (sin kx))))
  (- (log (sin ky)) (log (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (exp (/ (sin ky) (hypot (sin ky) (sin kx))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (- (sin ky))
  (- (hypot (sin ky) (sin kx)))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) 1)
  (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ 1 (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ 1 1)
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) 1)
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (expm1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (+ (log (sin th)) (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))
  (+ (log (sin th)) (log (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))
  (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (* (sin th) (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (sqrt (sin ky)) 1))
  (* (sin th) (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ 1 1))
  (* (sin th) 1)
  (* (sin th) (sin ky))
  (* (cbrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (sqrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (sin th) (sin ky))
  (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
4.464 * * [simplify]: iteration 0: 133 enodes
4.515 * * [simplify]: iteration 1: 306 enodes
4.609 * * [simplify]: iteration 2: 1013 enodes
5.199 * * [simplify]: iteration 3: 2946 enodes
6.053 * * [simplify]: iteration complete: 5003 enodes
6.053 * * [simplify]: Extracting #0: cost 76 inf + 0
6.057 * * [simplify]: Extracting #1: cost 810 inf + 1
6.066 * * [simplify]: Extracting #2: cost 1317 inf + 4016
6.101 * * [simplify]: Extracting #3: cost 1109 inf + 61899
6.185 * * [simplify]: Extracting #4: cost 318 inf + 323726
6.277 * * [simplify]: Extracting #5: cost 16 inf + 439846
6.397 * * [simplify]: Extracting #6: cost 0 inf + 443056
6.500 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (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)) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (log1p (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (log (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (log (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (exp (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (* (cbrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (cbrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (sqrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (sqrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (sin th) (* (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))
  (* (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th)) (cbrt (sin ky)))
  (* (* (sin th) (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (/ (* (sqrt (sin ky)) (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sin th) (sqrt (sin ky)))
  (/ (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (sin th)
  (sin th)
  (* (sin ky) (sin th))
  (* (/ (cbrt (sin th)) (hypot (sin kx) (sin ky))) (sin ky))
  (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (sin ky) (sin th))
  (real->posit16 (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (hypot (sin kx) (sin ky)) (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (real->posit16 (hypot (sin kx) (sin ky)))
  (fma (* kx (* kx (* ky kx))) 7/360 (fma (* ky kx) 1/6 (* -71/720 (* (* ky ky) (* ky kx)))))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (* (* ky kx) (* 1/6 th))
  (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))
  (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))
  (fma kx (- (* (* ky ky) 1/12) (* (* kx kx) 1/6)) kx)
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
6.504 * * * [progress]: adding candidates to table
7.032 * * [progress]: iteration 2 / 4
7.032 * * * [progress]: picking best candidate
7.108 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.109 * * * [progress]: localizing error
7.156 * * * [progress]: generating rewritten candidates
7.156 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
7.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
7.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
7.228 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
7.234 * * * [progress]: generating series expansions
7.235 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
7.235 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
7.235 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
7.235 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
7.235 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.235 * [taylor]: Taking taylor expansion of ky in kx
7.235 * [backup-simplify]: Simplify ky into ky
7.235 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.235 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.235 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.235 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.235 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.235 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.235 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.235 * [taylor]: Taking taylor expansion of ky in kx
7.235 * [backup-simplify]: Simplify ky into ky
7.235 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.235 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.235 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.236 * [taylor]: Taking taylor expansion of ky in kx
7.236 * [backup-simplify]: Simplify ky into ky
7.236 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.236 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.236 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.236 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.236 * [taylor]: Taking taylor expansion of kx in kx
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.236 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.236 * [taylor]: Taking taylor expansion of kx in kx
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.236 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.236 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.236 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.236 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.236 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.236 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.236 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.237 * [backup-simplify]: Simplify (* 0 0) into 0
7.237 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.237 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.238 * [backup-simplify]: Simplify (+ 0) into 0
7.238 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.239 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.240 * [backup-simplify]: Simplify (+ 0 0) into 0
7.241 * [backup-simplify]: Simplify (+ 0) into 0
7.241 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.242 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.243 * [backup-simplify]: Simplify (+ 0 0) into 0
7.243 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.245 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.245 * [backup-simplify]: Simplify (+ 0 0) into 0
7.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.246 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.246 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.246 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.246 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
7.246 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
7.246 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.246 * [taylor]: Taking taylor expansion of ky in ky
7.246 * [backup-simplify]: Simplify 0 into 0
7.246 * [backup-simplify]: Simplify 1 into 1
7.246 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.246 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.246 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.246 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.246 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.246 * [taylor]: Taking taylor expansion of ky in ky
7.246 * [backup-simplify]: Simplify 0 into 0
7.246 * [backup-simplify]: Simplify 1 into 1
7.246 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.246 * [taylor]: Taking taylor expansion of ky in ky
7.246 * [backup-simplify]: Simplify 0 into 0
7.246 * [backup-simplify]: Simplify 1 into 1
7.246 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.246 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.246 * [taylor]: Taking taylor expansion of kx in ky
7.246 * [backup-simplify]: Simplify kx into kx
7.246 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.247 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.247 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.247 * [taylor]: Taking taylor expansion of kx in ky
7.247 * [backup-simplify]: Simplify kx into kx
7.247 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.247 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.247 * [backup-simplify]: Simplify (* 0 0) into 0
7.247 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.247 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.247 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.247 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.248 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.248 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.248 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.248 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.248 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.250 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.251 * [backup-simplify]: Simplify (+ 0) into 0
7.251 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.252 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.253 * [backup-simplify]: Simplify (+ 0 0) into 0
7.253 * [backup-simplify]: Simplify (+ 0) into 0
7.254 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.255 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.255 * [backup-simplify]: Simplify (+ 0 0) into 0
7.255 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.256 * [backup-simplify]: Simplify (+ 0 0) into 0
7.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.257 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
7.257 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
7.257 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.257 * [taylor]: Taking taylor expansion of ky in ky
7.257 * [backup-simplify]: Simplify 0 into 0
7.257 * [backup-simplify]: Simplify 1 into 1
7.257 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.257 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.257 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.257 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.257 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.257 * [taylor]: Taking taylor expansion of ky in ky
7.257 * [backup-simplify]: Simplify 0 into 0
7.257 * [backup-simplify]: Simplify 1 into 1
7.257 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.257 * [taylor]: Taking taylor expansion of ky in ky
7.257 * [backup-simplify]: Simplify 0 into 0
7.257 * [backup-simplify]: Simplify 1 into 1
7.257 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.257 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.257 * [taylor]: Taking taylor expansion of kx in ky
7.257 * [backup-simplify]: Simplify kx into kx
7.257 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.257 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.257 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.257 * [taylor]: Taking taylor expansion of kx in ky
7.257 * [backup-simplify]: Simplify kx into kx
7.258 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.258 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.258 * [backup-simplify]: Simplify (* 0 0) into 0
7.258 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.258 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.258 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.258 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.258 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.258 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.258 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.259 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.259 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.261 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.261 * [backup-simplify]: Simplify (+ 0) into 0
7.262 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.263 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.263 * [backup-simplify]: Simplify (+ 0 0) into 0
7.264 * [backup-simplify]: Simplify (+ 0) into 0
7.264 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.266 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.267 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
7.267 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.267 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.267 * [taylor]: Taking taylor expansion of kx in kx
7.268 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.269 * [backup-simplify]: Simplify (/ 1 1) into 1
7.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.270 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.271 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
7.271 * [taylor]: Taking taylor expansion of 0 in kx
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.274 * [backup-simplify]: Simplify 1/6 into 1/6
7.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.278 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.280 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.281 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.282 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.282 * [backup-simplify]: Simplify (+ 0 0) into 0
7.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.284 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.285 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.285 * [backup-simplify]: Simplify (+ 0 0) into 0
7.286 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.286 * [backup-simplify]: Simplify (+ 1 0) into 1
7.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.287 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
7.287 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
7.287 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
7.288 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.288 * [taylor]: Taking taylor expansion of 1/6 in kx
7.288 * [backup-simplify]: Simplify 1/6 into 1/6
7.288 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.288 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.288 * [taylor]: Taking taylor expansion of kx in kx
7.288 * [backup-simplify]: Simplify 0 into 0
7.288 * [backup-simplify]: Simplify 1 into 1
7.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.289 * [backup-simplify]: Simplify (/ 1 1) into 1
7.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
7.289 * [taylor]: Taking taylor expansion of 1/2 in kx
7.289 * [backup-simplify]: Simplify 1/2 into 1/2
7.289 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
7.289 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
7.289 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.289 * [taylor]: Taking taylor expansion of kx in kx
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 1 into 1
7.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.290 * [backup-simplify]: Simplify (* 1 1) into 1
7.291 * [backup-simplify]: Simplify (* 1 1) into 1
7.291 * [backup-simplify]: Simplify (/ 1 1) into 1
7.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.293 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.295 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
7.300 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
7.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.305 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
7.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
7.309 * [backup-simplify]: Simplify (+ 0 0) into 0
7.309 * [backup-simplify]: Simplify (- 0) into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
7.312 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.318 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.320 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.322 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.323 * [backup-simplify]: Simplify (+ 0 0) into 0
7.323 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.324 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.327 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.327 * [backup-simplify]: Simplify (+ 0 0) into 0
7.328 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.328 * [backup-simplify]: Simplify (+ 0 0) into 0
7.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.329 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 0 (sin kx))))) into 0
7.329 * [taylor]: Taking taylor expansion of 0 in kx
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.333 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
7.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.338 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
7.340 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
7.344 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
7.344 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
7.345 * [backup-simplify]: Simplify (- 71/720) into -71/720
7.345 * [backup-simplify]: Simplify -71/720 into -71/720
7.345 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
7.351 * [backup-simplify]: Simplify 7/360 into 7/360
7.351 * [backup-simplify]: Simplify (+ (* 7/360 (* (pow kx 3) ky)) (+ (* -71/720 (* kx (pow ky 3))) (* 1/6 (* kx ky)))) into (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
7.352 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
7.352 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
7.352 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
7.352 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.352 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.352 * [taylor]: Taking taylor expansion of ky in kx
7.352 * [backup-simplify]: Simplify ky into ky
7.352 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.352 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.352 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.352 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.352 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.352 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.352 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.352 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.352 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.352 * [taylor]: Taking taylor expansion of ky in kx
7.352 * [backup-simplify]: Simplify ky into ky
7.352 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.353 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.353 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.353 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.353 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.353 * [taylor]: Taking taylor expansion of ky in kx
7.353 * [backup-simplify]: Simplify ky into ky
7.353 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.353 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.353 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.353 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.353 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.353 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.353 * [taylor]: Taking taylor expansion of kx in kx
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 1 into 1
7.354 * [backup-simplify]: Simplify (/ 1 1) into 1
7.354 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.354 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.354 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.354 * [taylor]: Taking taylor expansion of kx in kx
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify 1 into 1
7.354 * [backup-simplify]: Simplify (/ 1 1) into 1
7.354 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.354 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.354 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.355 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.355 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.355 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.355 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.355 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.355 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.355 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.356 * [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)))
7.356 * [backup-simplify]: Simplify (+ 0) into 0
7.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.358 * [backup-simplify]: Simplify (+ 0 0) into 0
7.359 * [backup-simplify]: Simplify (+ 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.361 * [backup-simplify]: Simplify (+ 0 0) into 0
7.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.362 * [backup-simplify]: Simplify (+ 0 0) into 0
7.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.362 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.362 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.362 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.363 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
7.363 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.363 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.363 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.363 * [taylor]: Taking taylor expansion of ky in ky
7.363 * [backup-simplify]: Simplify 0 into 0
7.363 * [backup-simplify]: Simplify 1 into 1
7.363 * [backup-simplify]: Simplify (/ 1 1) into 1
7.363 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.363 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.363 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.363 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.364 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.364 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.364 * [taylor]: Taking taylor expansion of ky in ky
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 1 into 1
7.364 * [backup-simplify]: Simplify (/ 1 1) into 1
7.364 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.364 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.364 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.364 * [taylor]: Taking taylor expansion of ky in ky
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (/ 1 1) into 1
7.365 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.365 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.365 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.365 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.365 * [taylor]: Taking taylor expansion of kx in ky
7.365 * [backup-simplify]: Simplify kx into kx
7.365 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.365 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.365 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.365 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.365 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.365 * [taylor]: Taking taylor expansion of kx in ky
7.365 * [backup-simplify]: Simplify kx into kx
7.365 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.365 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.365 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.365 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.365 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.365 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.366 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.366 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.366 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.366 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.366 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.366 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.366 * [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)))
7.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.367 * [backup-simplify]: Simplify (+ 0) into 0
7.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.369 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.369 * [backup-simplify]: Simplify (+ 0 0) into 0
7.369 * [backup-simplify]: Simplify (+ 0) into 0
7.370 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.375 * [backup-simplify]: Simplify (+ 0 0) into 0
7.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.375 * [backup-simplify]: Simplify (+ 0 0) into 0
7.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.376 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
7.376 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.376 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.376 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.376 * [taylor]: Taking taylor expansion of ky in ky
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 1 into 1
7.376 * [backup-simplify]: Simplify (/ 1 1) into 1
7.376 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.376 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.376 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.376 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.377 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.377 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.377 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.377 * [taylor]: Taking taylor expansion of ky in ky
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [backup-simplify]: Simplify 1 into 1
7.377 * [backup-simplify]: Simplify (/ 1 1) into 1
7.377 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.377 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.377 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.377 * [taylor]: Taking taylor expansion of ky in ky
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [backup-simplify]: Simplify 1 into 1
7.378 * [backup-simplify]: Simplify (/ 1 1) into 1
7.378 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.378 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.378 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.378 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.378 * [taylor]: Taking taylor expansion of kx in ky
7.378 * [backup-simplify]: Simplify kx into kx
7.378 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.378 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.378 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.378 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.378 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.378 * [taylor]: Taking taylor expansion of kx in ky
7.378 * [backup-simplify]: Simplify kx into kx
7.378 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.378 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.378 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.378 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.378 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.378 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.379 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.379 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.379 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.379 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.379 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.379 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.379 * [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)))
7.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.380 * [backup-simplify]: Simplify (+ 0) into 0
7.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.382 * [backup-simplify]: Simplify (+ 0 0) into 0
7.382 * [backup-simplify]: Simplify (+ 0) into 0
7.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.384 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.385 * [backup-simplify]: Simplify (+ 0 0) into 0
7.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.385 * [backup-simplify]: Simplify (+ 0 0) into 0
7.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.386 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
7.386 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
7.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
7.386 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.386 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.386 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.386 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.386 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.386 * [taylor]: Taking taylor expansion of kx in kx
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 1 into 1
7.387 * [backup-simplify]: Simplify (/ 1 1) into 1
7.387 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.387 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.387 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.387 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.387 * [taylor]: Taking taylor expansion of ky in kx
7.387 * [backup-simplify]: Simplify ky into ky
7.387 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.387 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.387 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.387 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.387 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.387 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.388 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.388 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.388 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.388 * [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)))
7.388 * [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))))
7.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.389 * [backup-simplify]: Simplify (+ 0) into 0
7.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.391 * [backup-simplify]: Simplify (+ 0 0) into 0
7.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.392 * [backup-simplify]: Simplify (+ 0 0) into 0
7.392 * [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
7.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.393 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.393 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.393 * [taylor]: Taking taylor expansion of ky in kx
7.393 * [backup-simplify]: Simplify ky into ky
7.393 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.393 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.393 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.393 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.393 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.393 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.394 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
7.394 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
7.395 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
7.395 * [taylor]: Taking taylor expansion of 0 in kx
7.395 * [backup-simplify]: Simplify 0 into 0
7.395 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify (+ 0) into 0
7.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.397 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.398 * [backup-simplify]: Simplify (+ 0 0) into 0
7.398 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
7.398 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.402 * [backup-simplify]: Simplify (+ 0 0) into 0
7.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.405 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.406 * [backup-simplify]: Simplify (+ 0 0) into 0
7.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.407 * [backup-simplify]: Simplify (+ 0 0) into 0
7.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.408 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
7.408 * [taylor]: Taking taylor expansion of 0 in kx
7.408 * [backup-simplify]: Simplify 0 into 0
7.409 * [backup-simplify]: Simplify 0 into 0
7.409 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.413 * [backup-simplify]: Simplify (+ 0 0) into 0
7.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.417 * [backup-simplify]: Simplify (+ 0 0) into 0
7.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.418 * [backup-simplify]: Simplify (+ 0 0) into 0
7.418 * [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
7.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.420 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.420 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.422 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.426 * [backup-simplify]: Simplify (+ 0 0) into 0
7.427 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.431 * [backup-simplify]: Simplify (+ 0 0) into 0
7.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.433 * [backup-simplify]: Simplify (+ 0 0) into 0
7.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.435 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 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
7.435 * [taylor]: Taking taylor expansion of 0 in kx
7.435 * [backup-simplify]: Simplify 0 into 0
7.435 * [backup-simplify]: Simplify 0 into 0
7.435 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
7.436 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
7.436 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
7.436 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
7.436 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.436 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.436 * [taylor]: Taking taylor expansion of -1 in kx
7.436 * [backup-simplify]: Simplify -1 into -1
7.436 * [taylor]: Taking taylor expansion of ky in kx
7.436 * [backup-simplify]: Simplify ky into ky
7.436 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.436 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.436 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.436 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.436 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.436 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.436 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.436 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.436 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.436 * [taylor]: Taking taylor expansion of -1 in kx
7.436 * [backup-simplify]: Simplify -1 into -1
7.436 * [taylor]: Taking taylor expansion of ky in kx
7.437 * [backup-simplify]: Simplify ky into ky
7.437 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.437 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.437 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.437 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.437 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.437 * [taylor]: Taking taylor expansion of -1 in kx
7.437 * [backup-simplify]: Simplify -1 into -1
7.437 * [taylor]: Taking taylor expansion of ky in kx
7.437 * [backup-simplify]: Simplify ky into ky
7.437 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.437 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.437 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.437 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.437 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.437 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.437 * [taylor]: Taking taylor expansion of -1 in kx
7.437 * [backup-simplify]: Simplify -1 into -1
7.437 * [taylor]: Taking taylor expansion of kx in kx
7.437 * [backup-simplify]: Simplify 0 into 0
7.437 * [backup-simplify]: Simplify 1 into 1
7.438 * [backup-simplify]: Simplify (/ -1 1) into -1
7.438 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.438 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.438 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.438 * [taylor]: Taking taylor expansion of -1 in kx
7.438 * [backup-simplify]: Simplify -1 into -1
7.438 * [taylor]: Taking taylor expansion of kx in kx
7.438 * [backup-simplify]: Simplify 0 into 0
7.438 * [backup-simplify]: Simplify 1 into 1
7.439 * [backup-simplify]: Simplify (/ -1 1) into -1
7.439 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.439 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.439 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.439 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.439 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.439 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.439 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.439 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.440 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.440 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.440 * [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)))
7.440 * [backup-simplify]: Simplify (+ 0) into 0
7.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.441 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.443 * [backup-simplify]: Simplify (+ 0 0) into 0
7.443 * [backup-simplify]: Simplify (+ 0) into 0
7.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.444 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.445 * [backup-simplify]: Simplify (+ 0 0) into 0
7.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.446 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.446 * [backup-simplify]: Simplify (+ 0 0) into 0
7.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.446 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.446 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.446 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.447 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
7.447 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.447 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.447 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.447 * [taylor]: Taking taylor expansion of -1 in ky
7.447 * [backup-simplify]: Simplify -1 into -1
7.447 * [taylor]: Taking taylor expansion of ky in ky
7.447 * [backup-simplify]: Simplify 0 into 0
7.447 * [backup-simplify]: Simplify 1 into 1
7.447 * [backup-simplify]: Simplify (/ -1 1) into -1
7.448 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.448 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.448 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.448 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.448 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.448 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.448 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.448 * [taylor]: Taking taylor expansion of -1 in ky
7.448 * [backup-simplify]: Simplify -1 into -1
7.448 * [taylor]: Taking taylor expansion of ky in ky
7.448 * [backup-simplify]: Simplify 0 into 0
7.448 * [backup-simplify]: Simplify 1 into 1
7.448 * [backup-simplify]: Simplify (/ -1 1) into -1
7.448 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.448 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.448 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.448 * [taylor]: Taking taylor expansion of -1 in ky
7.448 * [backup-simplify]: Simplify -1 into -1
7.449 * [taylor]: Taking taylor expansion of ky in ky
7.449 * [backup-simplify]: Simplify 0 into 0
7.449 * [backup-simplify]: Simplify 1 into 1
7.449 * [backup-simplify]: Simplify (/ -1 1) into -1
7.449 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.449 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.449 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.449 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.449 * [taylor]: Taking taylor expansion of -1 in ky
7.449 * [backup-simplify]: Simplify -1 into -1
7.449 * [taylor]: Taking taylor expansion of kx in ky
7.449 * [backup-simplify]: Simplify kx into kx
7.449 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.449 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.449 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.450 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.450 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.450 * [taylor]: Taking taylor expansion of -1 in ky
7.450 * [backup-simplify]: Simplify -1 into -1
7.450 * [taylor]: Taking taylor expansion of kx in ky
7.450 * [backup-simplify]: Simplify kx into kx
7.450 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.450 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.450 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.450 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.450 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.450 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.450 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.450 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.450 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.451 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.451 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.451 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.451 * [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)))
7.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.452 * [backup-simplify]: Simplify (+ 0) into 0
7.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.452 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.454 * [backup-simplify]: Simplify (+ 0 0) into 0
7.454 * [backup-simplify]: Simplify (+ 0) into 0
7.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.455 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.457 * [backup-simplify]: Simplify (+ 0 0) into 0
7.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.457 * [backup-simplify]: Simplify (+ 0 0) into 0
7.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.458 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
7.458 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.458 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.458 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.458 * [taylor]: Taking taylor expansion of -1 in ky
7.458 * [backup-simplify]: Simplify -1 into -1
7.458 * [taylor]: Taking taylor expansion of ky in ky
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 1 into 1
7.458 * [backup-simplify]: Simplify (/ -1 1) into -1
7.458 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.459 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.459 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.459 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.459 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.459 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.459 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.459 * [taylor]: Taking taylor expansion of -1 in ky
7.459 * [backup-simplify]: Simplify -1 into -1
7.459 * [taylor]: Taking taylor expansion of ky in ky
7.459 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [backup-simplify]: Simplify (/ -1 1) into -1
7.459 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.459 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.459 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.459 * [taylor]: Taking taylor expansion of -1 in ky
7.459 * [backup-simplify]: Simplify -1 into -1
7.460 * [taylor]: Taking taylor expansion of ky in ky
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify 1 into 1
7.460 * [backup-simplify]: Simplify (/ -1 1) into -1
7.460 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.460 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.460 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.460 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.460 * [taylor]: Taking taylor expansion of -1 in ky
7.460 * [backup-simplify]: Simplify -1 into -1
7.460 * [taylor]: Taking taylor expansion of kx in ky
7.460 * [backup-simplify]: Simplify kx into kx
7.460 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.460 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.461 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.461 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.461 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.461 * [taylor]: Taking taylor expansion of -1 in ky
7.461 * [backup-simplify]: Simplify -1 into -1
7.461 * [taylor]: Taking taylor expansion of kx in ky
7.461 * [backup-simplify]: Simplify kx into kx
7.461 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.461 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.461 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.461 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.462 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.462 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.462 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.462 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.462 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.462 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.462 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.462 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.463 * [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)))
7.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.463 * [backup-simplify]: Simplify (+ 0) into 0
7.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.464 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.465 * [backup-simplify]: Simplify (+ 0 0) into 0
7.466 * [backup-simplify]: Simplify (+ 0) into 0
7.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.467 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.468 * [backup-simplify]: Simplify (+ 0 0) into 0
7.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.469 * [backup-simplify]: Simplify (+ 0 0) into 0
7.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.469 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
7.469 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
7.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
7.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.469 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.469 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.469 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.470 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.470 * [taylor]: Taking taylor expansion of -1 in kx
7.470 * [backup-simplify]: Simplify -1 into -1
7.470 * [taylor]: Taking taylor expansion of kx in kx
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.470 * [backup-simplify]: Simplify (/ -1 1) into -1
7.470 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.470 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.470 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.470 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.470 * [taylor]: Taking taylor expansion of -1 in kx
7.470 * [backup-simplify]: Simplify -1 into -1
7.470 * [taylor]: Taking taylor expansion of ky in kx
7.470 * [backup-simplify]: Simplify ky into ky
7.470 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.471 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.471 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.471 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.471 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.471 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.471 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.471 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.471 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.472 * [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)))
7.472 * [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))))
7.472 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.472 * [backup-simplify]: Simplify (+ 0) into 0
7.473 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.473 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.475 * [backup-simplify]: Simplify (+ 0 0) into 0
7.475 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.475 * [backup-simplify]: Simplify (+ 0 0) into 0
7.476 * [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
7.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.476 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.476 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.476 * [taylor]: Taking taylor expansion of -1 in kx
7.476 * [backup-simplify]: Simplify -1 into -1
7.476 * [taylor]: Taking taylor expansion of ky in kx
7.476 * [backup-simplify]: Simplify ky into ky
7.476 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.476 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.476 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.477 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.477 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.477 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.477 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
7.477 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
7.478 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
7.478 * [taylor]: Taking taylor expansion of 0 in kx
7.478 * [backup-simplify]: Simplify 0 into 0
7.478 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify (+ 0) into 0
7.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.479 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.481 * [backup-simplify]: Simplify (+ 0 0) into 0
7.481 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
7.481 * [backup-simplify]: Simplify 0 into 0
7.482 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.484 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.487 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.487 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.488 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.489 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.489 * [backup-simplify]: Simplify (+ 0 0) into 0
7.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.490 * [backup-simplify]: Simplify (+ 0 0) into 0
7.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.492 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
7.492 * [taylor]: Taking taylor expansion of 0 in kx
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 0 into 0
7.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.495 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.495 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.496 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.496 * [backup-simplify]: Simplify (+ 0 0) into 0
7.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.499 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.499 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.500 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.501 * [backup-simplify]: Simplify (+ 0 0) into 0
7.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.502 * [backup-simplify]: Simplify (+ 0 0) into 0
7.502 * [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
7.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.504 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.504 * [backup-simplify]: Simplify 0 into 0
7.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.506 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.507 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.510 * [backup-simplify]: Simplify (+ 0 0) into 0
7.511 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.512 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.512 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.515 * [backup-simplify]: Simplify (+ 0 0) into 0
7.515 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.516 * [backup-simplify]: Simplify (+ 0 0) into 0
7.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.519 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 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
7.519 * [taylor]: Taking taylor expansion of 0 in kx
7.519 * [backup-simplify]: Simplify 0 into 0
7.519 * [backup-simplify]: Simplify 0 into 0
7.519 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
7.519 * * * * [progress]: [ 2 / 4 ] generating series at (2)
7.519 * [backup-simplify]: Simplify (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
7.520 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
7.520 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
7.520 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
7.520 * [taylor]: Taking taylor expansion of (sin th) in kx
7.520 * [taylor]: Taking taylor expansion of th in kx
7.520 * [backup-simplify]: Simplify th into th
7.520 * [backup-simplify]: Simplify (sin th) into (sin th)
7.520 * [backup-simplify]: Simplify (cos th) into (cos th)
7.520 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.520 * [taylor]: Taking taylor expansion of ky in kx
7.520 * [backup-simplify]: Simplify ky into ky
7.520 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.520 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.520 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.520 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.520 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.520 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.520 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.520 * [taylor]: Taking taylor expansion of ky in kx
7.520 * [backup-simplify]: Simplify ky into ky
7.520 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.520 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.520 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.520 * [taylor]: Taking taylor expansion of ky in kx
7.520 * [backup-simplify]: Simplify ky into ky
7.521 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.521 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.521 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.521 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.521 * [taylor]: Taking taylor expansion of kx in kx
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.521 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.521 * [taylor]: Taking taylor expansion of kx in kx
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.521 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.521 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.521 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.521 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.521 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.521 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.521 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.522 * [backup-simplify]: Simplify (* 0 0) into 0
7.522 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.522 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.523 * [backup-simplify]: Simplify (+ 0) into 0
7.523 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.525 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.525 * [backup-simplify]: Simplify (+ 0 0) into 0
7.525 * [backup-simplify]: Simplify (+ 0) into 0
7.526 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.527 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.527 * [backup-simplify]: Simplify (+ 0 0) into 0
7.528 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.531 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.532 * [backup-simplify]: Simplify (+ 0 0) into 0
7.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.532 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.532 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.532 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.532 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.532 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.532 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.533 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
7.533 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
7.533 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
7.533 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
7.533 * [taylor]: Taking taylor expansion of (sin th) in ky
7.533 * [taylor]: Taking taylor expansion of th in ky
7.533 * [backup-simplify]: Simplify th into th
7.533 * [backup-simplify]: Simplify (sin th) into (sin th)
7.533 * [backup-simplify]: Simplify (cos th) into (cos th)
7.533 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.533 * [taylor]: Taking taylor expansion of ky in ky
7.533 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify 1 into 1
7.533 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.533 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.533 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.533 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.533 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.533 * [taylor]: Taking taylor expansion of ky in ky
7.533 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify 1 into 1
7.533 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.533 * [taylor]: Taking taylor expansion of ky in ky
7.533 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify 1 into 1
7.534 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.534 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.534 * [taylor]: Taking taylor expansion of kx in ky
7.534 * [backup-simplify]: Simplify kx into kx
7.534 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.534 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.534 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.534 * [taylor]: Taking taylor expansion of kx in ky
7.534 * [backup-simplify]: Simplify kx into kx
7.534 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.534 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.534 * [backup-simplify]: Simplify (* 0 0) into 0
7.534 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.535 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.535 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.535 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.535 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.535 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.535 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.535 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.535 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.537 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.538 * [backup-simplify]: Simplify (+ 0) into 0
7.538 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.539 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.540 * [backup-simplify]: Simplify (+ 0 0) into 0
7.540 * [backup-simplify]: Simplify (+ 0) into 0
7.541 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.542 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.542 * [backup-simplify]: Simplify (+ 0 0) into 0
7.542 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.543 * [backup-simplify]: Simplify (+ 0 0) into 0
7.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.543 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.543 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.543 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.543 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.544 * [backup-simplify]: Simplify (+ 0) into 0
7.545 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
7.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.546 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
7.546 * [backup-simplify]: Simplify (+ 0 0) into 0
7.547 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
7.547 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
7.547 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
7.547 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
7.547 * [taylor]: Taking taylor expansion of (sin th) in th
7.547 * [taylor]: Taking taylor expansion of th in th
7.547 * [backup-simplify]: Simplify 0 into 0
7.547 * [backup-simplify]: Simplify 1 into 1
7.547 * [taylor]: Taking taylor expansion of (sin ky) in th
7.547 * [taylor]: Taking taylor expansion of ky in th
7.547 * [backup-simplify]: Simplify ky into ky
7.547 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.547 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.547 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
7.548 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.548 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
7.548 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
7.548 * [taylor]: Taking taylor expansion of (sin ky) in th
7.548 * [taylor]: Taking taylor expansion of ky in th
7.548 * [backup-simplify]: Simplify ky into ky
7.548 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.548 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.548 * [taylor]: Taking taylor expansion of (sin ky) in th
7.548 * [taylor]: Taking taylor expansion of ky in th
7.548 * [backup-simplify]: Simplify ky into ky
7.548 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.548 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.548 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
7.548 * [taylor]: Taking taylor expansion of (sin kx) in th
7.548 * [taylor]: Taking taylor expansion of kx in th
7.548 * [backup-simplify]: Simplify kx into kx
7.548 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.548 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.548 * [taylor]: Taking taylor expansion of (sin kx) in th
7.548 * [taylor]: Taking taylor expansion of kx in th
7.549 * [backup-simplify]: Simplify kx into kx
7.549 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.549 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.549 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.549 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.549 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.549 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.549 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.549 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.549 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.549 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.549 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.549 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.549 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.550 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.550 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.550 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.550 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
7.550 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
7.551 * [backup-simplify]: Simplify (+ 0) into 0
7.551 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.552 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.553 * [backup-simplify]: Simplify (+ 0 0) into 0
7.553 * [backup-simplify]: Simplify (+ 0) into 0
7.554 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.555 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.555 * [backup-simplify]: Simplify (+ 0 0) into 0
7.555 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.556 * [backup-simplify]: Simplify (+ 0) into 0
7.556 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.558 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.558 * [backup-simplify]: Simplify (+ 0 0) into 0
7.558 * [backup-simplify]: Simplify (+ 0) into 0
7.559 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.560 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.560 * [backup-simplify]: Simplify (+ 0 0) into 0
7.561 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.561 * [backup-simplify]: Simplify (+ 0 0) into 0
7.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
7.561 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.561 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.561 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.562 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
7.562 * [backup-simplify]: Simplify (+ 0) into 0
7.562 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.564 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.564 * [backup-simplify]: Simplify (+ 0 0) into 0
7.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
7.565 * [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))
7.565 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
7.565 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
7.566 * [taylor]: Taking taylor expansion of (sin th) in th
7.566 * [taylor]: Taking taylor expansion of th in th
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [taylor]: Taking taylor expansion of (sin ky) in th
7.566 * [taylor]: Taking taylor expansion of ky in th
7.566 * [backup-simplify]: Simplify ky into ky
7.566 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.566 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.566 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
7.566 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.566 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
7.566 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
7.566 * [taylor]: Taking taylor expansion of (sin ky) in th
7.566 * [taylor]: Taking taylor expansion of ky in th
7.566 * [backup-simplify]: Simplify ky into ky
7.566 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.566 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.566 * [taylor]: Taking taylor expansion of (sin ky) in th
7.566 * [taylor]: Taking taylor expansion of ky in th
7.566 * [backup-simplify]: Simplify ky into ky
7.566 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.566 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.566 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
7.566 * [taylor]: Taking taylor expansion of (sin kx) in th
7.566 * [taylor]: Taking taylor expansion of kx in th
7.566 * [backup-simplify]: Simplify kx into kx
7.566 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.567 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.567 * [taylor]: Taking taylor expansion of (sin kx) in th
7.567 * [taylor]: Taking taylor expansion of kx in th
7.567 * [backup-simplify]: Simplify kx into kx
7.567 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.567 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.567 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.567 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.567 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.567 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.567 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.567 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.567 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.567 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.567 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.567 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.567 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.568 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.568 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.568 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.568 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
7.568 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
7.569 * [backup-simplify]: Simplify (+ 0) into 0
7.569 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.570 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.571 * [backup-simplify]: Simplify (+ 0 0) into 0
7.571 * [backup-simplify]: Simplify (+ 0) into 0
7.572 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.573 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.574 * [backup-simplify]: Simplify (+ 0 0) into 0
7.574 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.574 * [backup-simplify]: Simplify (+ 0) into 0
7.575 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.576 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.576 * [backup-simplify]: Simplify (+ 0 0) into 0
7.577 * [backup-simplify]: Simplify (+ 0) into 0
7.577 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.578 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.579 * [backup-simplify]: Simplify (+ 0 0) into 0
7.579 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.579 * [backup-simplify]: Simplify (+ 0 0) into 0
7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
7.579 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.579 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.579 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.579 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
7.580 * [backup-simplify]: Simplify (+ 0) into 0
7.580 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.581 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.581 * [backup-simplify]: Simplify (+ 0 0) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.582 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
7.582 * [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))
7.582 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
7.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
7.582 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
7.582 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
7.582 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
7.582 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.582 * [taylor]: Taking taylor expansion of ky in ky
7.582 * [backup-simplify]: Simplify 0 into 0
7.582 * [backup-simplify]: Simplify 1 into 1
7.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.582 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
7.582 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.582 * [taylor]: Taking taylor expansion of kx in ky
7.582 * [backup-simplify]: Simplify kx into kx
7.583 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.583 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.583 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.583 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.583 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.583 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.583 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.583 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
7.583 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
7.583 * [backup-simplify]: Simplify (+ 0) into 0
7.584 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.584 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.585 * [backup-simplify]: Simplify (+ 0 0) into 0
7.585 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.585 * [backup-simplify]: Simplify (+ 0 0) into 0
7.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
7.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
7.585 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.585 * [taylor]: Taking taylor expansion of ky in ky
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.586 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
7.586 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.586 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.586 * [taylor]: Taking taylor expansion of kx in kx
7.586 * [backup-simplify]: Simplify 0 into 0
7.586 * [backup-simplify]: Simplify 1 into 1
7.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.587 * [backup-simplify]: Simplify (/ 1 1) into 1
7.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.588 * [backup-simplify]: Simplify 0 into 0
7.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.589 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
7.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.590 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
7.590 * [backup-simplify]: Simplify (+ 0 0) into 0
7.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
7.592 * [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
7.592 * [taylor]: Taking taylor expansion of 0 in ky
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [taylor]: Taking taylor expansion of 0 in kx
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.593 * [backup-simplify]: Simplify (* 1 1) into 1
7.593 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.594 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.594 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.595 * [backup-simplify]: Simplify (+ 0 0) into 0
7.595 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.595 * [backup-simplify]: Simplify (+ 1 0) into 1
7.595 * [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)))
7.596 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
7.596 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
7.596 * [taylor]: Taking taylor expansion of 0 in kx
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 0 into 0
7.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.598 * [backup-simplify]: Simplify 1/6 into 1/6
7.599 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.599 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.600 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.600 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.601 * [backup-simplify]: Simplify (+ 0 0) into 0
7.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
7.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.603 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
7.604 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.604 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
7.604 * [backup-simplify]: Simplify (+ 0 0) into 0
7.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.605 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
7.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.606 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
7.606 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
7.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.607 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.608 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.609 * [backup-simplify]: Simplify (+ 0 0) into 0
7.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.609 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.610 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.610 * [backup-simplify]: Simplify (+ 0 0) into 0
7.611 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.611 * [backup-simplify]: Simplify (+ 0 0) into 0
7.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
7.612 * [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))))
7.612 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
7.612 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
7.612 * [taylor]: Taking taylor expansion of 1/6 in ky
7.612 * [backup-simplify]: Simplify 1/6 into 1/6
7.612 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
7.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
7.612 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
7.612 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
7.612 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
7.612 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.612 * [taylor]: Taking taylor expansion of ky in ky
7.612 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify 1 into 1
7.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.613 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
7.613 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.613 * [taylor]: Taking taylor expansion of kx in ky
7.613 * [backup-simplify]: Simplify kx into kx
7.613 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.613 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.613 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.613 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.613 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.613 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.613 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.613 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
7.613 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
7.614 * [backup-simplify]: Simplify (+ 0) into 0
7.614 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.615 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.615 * [backup-simplify]: Simplify (+ 0 0) into 0
7.615 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.615 * [backup-simplify]: Simplify (+ 0 0) into 0
7.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
7.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
7.616 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.616 * [taylor]: Taking taylor expansion of ky in ky
7.616 * [backup-simplify]: Simplify 0 into 0
7.616 * [backup-simplify]: Simplify 1 into 1
7.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.616 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
7.616 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
7.617 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
7.617 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
7.617 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
7.617 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.617 * [taylor]: Taking taylor expansion of 1/6 in kx
7.617 * [backup-simplify]: Simplify 1/6 into 1/6
7.617 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.617 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.617 * [taylor]: Taking taylor expansion of kx in kx
7.617 * [backup-simplify]: Simplify 0 into 0
7.617 * [backup-simplify]: Simplify 1 into 1
7.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.618 * [backup-simplify]: Simplify (/ 1 1) into 1
7.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.619 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.619 * [backup-simplify]: Simplify (- 0) into 0
7.619 * [backup-simplify]: Simplify 0 into 0
7.619 * [taylor]: Taking taylor expansion of 0 in kx
7.620 * [backup-simplify]: Simplify 0 into 0
7.620 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.623 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.624 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.627 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.627 * [backup-simplify]: Simplify (+ 0 0) into 0
7.628 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.628 * [backup-simplify]: Simplify (+ 0 0) into 0
7.629 * [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
7.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
7.630 * [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)))))
7.630 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
7.630 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
7.630 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.630 * [taylor]: Taking taylor expansion of 1/6 in kx
7.630 * [backup-simplify]: Simplify 1/6 into 1/6
7.630 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.630 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.631 * [taylor]: Taking taylor expansion of kx in kx
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify 1 into 1
7.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.632 * [backup-simplify]: Simplify (/ 1 1) into 1
7.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
7.632 * [taylor]: Taking taylor expansion of 1/2 in kx
7.632 * [backup-simplify]: Simplify 1/2 into 1/2
7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
7.632 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
7.632 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.632 * [taylor]: Taking taylor expansion of kx in kx
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.633 * [backup-simplify]: Simplify (* 1 1) into 1
7.633 * [backup-simplify]: Simplify (* 1 1) into 1
7.634 * [backup-simplify]: Simplify (/ 1 1) into 1
7.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.636 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.638 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
7.642 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
7.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
7.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.647 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
7.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
7.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
7.651 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [backup-simplify]: Simplify (- 0) into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.655 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
7.657 * [backup-simplify]: Simplify 0 into 0
7.657 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
7.658 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
7.658 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
7.658 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
7.658 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
7.658 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
7.658 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
7.658 * [taylor]: Taking taylor expansion of th in kx
7.658 * [backup-simplify]: Simplify th into th
7.658 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.658 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.658 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.658 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.658 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.658 * [taylor]: Taking taylor expansion of ky in kx
7.658 * [backup-simplify]: Simplify ky into ky
7.658 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.658 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.658 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.658 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.659 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.659 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.659 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.659 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.659 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.659 * [taylor]: Taking taylor expansion of ky in kx
7.659 * [backup-simplify]: Simplify ky into ky
7.659 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.659 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.659 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.659 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.659 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.659 * [taylor]: Taking taylor expansion of ky in kx
7.659 * [backup-simplify]: Simplify ky into ky
7.659 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.659 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.659 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.659 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.659 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.659 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.659 * [taylor]: Taking taylor expansion of kx in kx
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 1 into 1
7.660 * [backup-simplify]: Simplify (/ 1 1) into 1
7.660 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.660 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.660 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.660 * [taylor]: Taking taylor expansion of kx in kx
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 1 into 1
7.661 * [backup-simplify]: Simplify (/ 1 1) into 1
7.661 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.661 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.661 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.661 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.661 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.661 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.661 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.661 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.661 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.662 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.662 * [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)))
7.662 * [backup-simplify]: Simplify (+ 0) into 0
7.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.665 * [backup-simplify]: Simplify (+ 0 0) into 0
7.665 * [backup-simplify]: Simplify (+ 0) into 0
7.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.667 * [backup-simplify]: Simplify (+ 0 0) into 0
7.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.669 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.669 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.669 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.669 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.669 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.669 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.669 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.669 * [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)))))
7.670 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.670 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
7.670 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
7.670 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
7.670 * [taylor]: Taking taylor expansion of th in ky
7.670 * [backup-simplify]: Simplify th into th
7.670 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.670 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.670 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.670 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.670 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.670 * [taylor]: Taking taylor expansion of ky in ky
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify 1 into 1
7.671 * [backup-simplify]: Simplify (/ 1 1) into 1
7.671 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.671 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.671 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.671 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.671 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.671 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.671 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.671 * [taylor]: Taking taylor expansion of ky in ky
7.671 * [backup-simplify]: Simplify 0 into 0
7.671 * [backup-simplify]: Simplify 1 into 1
7.672 * [backup-simplify]: Simplify (/ 1 1) into 1
7.672 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.672 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.672 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.672 * [taylor]: Taking taylor expansion of ky in ky
7.672 * [backup-simplify]: Simplify 0 into 0
7.672 * [backup-simplify]: Simplify 1 into 1
7.672 * [backup-simplify]: Simplify (/ 1 1) into 1
7.672 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.672 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.672 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.673 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.673 * [taylor]: Taking taylor expansion of kx in ky
7.673 * [backup-simplify]: Simplify kx into kx
7.673 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.673 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.673 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.673 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.673 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.673 * [taylor]: Taking taylor expansion of kx in ky
7.673 * [backup-simplify]: Simplify kx into kx
7.673 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.673 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.673 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.673 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.673 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.673 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.674 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.674 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.674 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.674 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.674 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.674 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.674 * [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)))
7.674 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.675 * [backup-simplify]: Simplify (+ 0) into 0
7.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.677 * [backup-simplify]: Simplify (+ 0 0) into 0
7.678 * [backup-simplify]: Simplify (+ 0) into 0
7.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.680 * [backup-simplify]: Simplify (+ 0 0) into 0
7.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.681 * [backup-simplify]: Simplify (+ 0 0) into 0
7.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.681 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.681 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.681 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.681 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.682 * [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)))))
7.682 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
7.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
7.682 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
7.682 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.682 * [taylor]: Taking taylor expansion of th in th
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify 1 into 1
7.682 * [backup-simplify]: Simplify (/ 1 1) into 1
7.682 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.682 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.682 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.683 * [taylor]: Taking taylor expansion of ky in th
7.683 * [backup-simplify]: Simplify ky into ky
7.683 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.683 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.683 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.683 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
7.683 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.683 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
7.683 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
7.683 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.683 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.683 * [taylor]: Taking taylor expansion of ky in th
7.683 * [backup-simplify]: Simplify ky into ky
7.683 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.683 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.683 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.683 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.683 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.683 * [taylor]: Taking taylor expansion of ky in th
7.683 * [backup-simplify]: Simplify ky into ky
7.683 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.683 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.684 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.684 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
7.684 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.684 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.684 * [taylor]: Taking taylor expansion of kx in th
7.684 * [backup-simplify]: Simplify kx into kx
7.684 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.684 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.684 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.684 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.684 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.684 * [taylor]: Taking taylor expansion of kx in th
7.684 * [backup-simplify]: Simplify kx into kx
7.684 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.684 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.684 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.684 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.684 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.684 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.685 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.685 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.685 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.685 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.685 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.685 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.685 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.685 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.685 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.685 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.685 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.686 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.686 * [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)))
7.686 * [backup-simplify]: Simplify (+ 0) into 0
7.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.689 * [backup-simplify]: Simplify (+ 0 0) into 0
7.689 * [backup-simplify]: Simplify (+ 0) into 0
7.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.691 * [backup-simplify]: Simplify (+ 0 0) into 0
7.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.692 * [backup-simplify]: Simplify (+ 0) into 0
7.692 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.694 * [backup-simplify]: Simplify (+ 0 0) into 0
7.695 * [backup-simplify]: Simplify (+ 0) into 0
7.695 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.697 * [backup-simplify]: Simplify (+ 0 0) into 0
7.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.697 * [backup-simplify]: Simplify (+ 0 0) into 0
7.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.698 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.698 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.698 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.698 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.699 * [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)))))
7.699 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
7.699 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
7.699 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
7.699 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.699 * [taylor]: Taking taylor expansion of th in th
7.699 * [backup-simplify]: Simplify 0 into 0
7.699 * [backup-simplify]: Simplify 1 into 1
7.699 * [backup-simplify]: Simplify (/ 1 1) into 1
7.699 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.699 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.699 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.699 * [taylor]: Taking taylor expansion of ky in th
7.699 * [backup-simplify]: Simplify ky into ky
7.699 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.700 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.700 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.700 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
7.700 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.700 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
7.700 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
7.700 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.700 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.700 * [taylor]: Taking taylor expansion of ky in th
7.700 * [backup-simplify]: Simplify ky into ky
7.700 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.700 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.700 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.700 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.700 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.700 * [taylor]: Taking taylor expansion of ky in th
7.700 * [backup-simplify]: Simplify ky into ky
7.700 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.700 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.700 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.700 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
7.701 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.701 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.701 * [taylor]: Taking taylor expansion of kx in th
7.701 * [backup-simplify]: Simplify kx into kx
7.701 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.701 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.701 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.701 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.701 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.701 * [taylor]: Taking taylor expansion of kx in th
7.701 * [backup-simplify]: Simplify kx into kx
7.701 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.701 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.701 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.701 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.701 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.701 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.701 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.702 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.702 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.702 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.702 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.702 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.702 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.702 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.702 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.702 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.702 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.703 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.703 * [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)))
7.704 * [backup-simplify]: Simplify (+ 0) into 0
7.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.706 * [backup-simplify]: Simplify (+ 0 0) into 0
7.706 * [backup-simplify]: Simplify (+ 0) into 0
7.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.709 * [backup-simplify]: Simplify (+ 0 0) into 0
7.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.709 * [backup-simplify]: Simplify (+ 0) into 0
7.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.712 * [backup-simplify]: Simplify (+ 0 0) into 0
7.712 * [backup-simplify]: Simplify (+ 0) into 0
7.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.715 * [backup-simplify]: Simplify (+ 0 0) into 0
7.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.715 * [backup-simplify]: Simplify (+ 0 0) into 0
7.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.716 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.716 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.716 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.716 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.716 * [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)))))
7.716 * [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
7.716 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
7.717 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
7.717 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
7.717 * [taylor]: Taking taylor expansion of th in ky
7.717 * [backup-simplify]: Simplify th into th
7.717 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.717 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.717 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.717 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.717 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.717 * [taylor]: Taking taylor expansion of ky in ky
7.717 * [backup-simplify]: Simplify 0 into 0
7.717 * [backup-simplify]: Simplify 1 into 1
7.717 * [backup-simplify]: Simplify (/ 1 1) into 1
7.718 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
7.718 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
7.718 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
7.718 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
7.718 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.718 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.718 * [taylor]: Taking taylor expansion of kx in ky
7.718 * [backup-simplify]: Simplify kx into kx
7.718 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.718 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.718 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.718 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.718 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.718 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.718 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
7.718 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.718 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.718 * [taylor]: Taking taylor expansion of ky in ky
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 1 into 1
7.719 * [backup-simplify]: Simplify (/ 1 1) into 1
7.719 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.719 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.719 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.719 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.720 * [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)))
7.720 * [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))))
7.720 * [backup-simplify]: Simplify (+ 0) into 0
7.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.723 * [backup-simplify]: Simplify (+ 0 0) into 0
7.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.723 * [backup-simplify]: Simplify (+ 0 0) into 0
7.724 * [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
7.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.724 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.724 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.724 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.725 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.725 * [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)))))
7.725 * [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
7.725 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
7.725 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
7.725 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
7.725 * [taylor]: Taking taylor expansion of th in kx
7.725 * [backup-simplify]: Simplify th into th
7.725 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.725 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.725 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.725 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.725 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.725 * [taylor]: Taking taylor expansion of ky in kx
7.725 * [backup-simplify]: Simplify ky into ky
7.726 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.726 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.726 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
7.726 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.726 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.726 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.726 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.726 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.726 * [taylor]: Taking taylor expansion of kx in kx
7.726 * [backup-simplify]: Simplify 0 into 0
7.726 * [backup-simplify]: Simplify 1 into 1
7.726 * [backup-simplify]: Simplify (/ 1 1) into 1
7.727 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.727 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.727 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.727 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.727 * [taylor]: Taking taylor expansion of ky in kx
7.727 * [backup-simplify]: Simplify ky into ky
7.727 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.727 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.727 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.727 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.727 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.727 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.727 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.727 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.728 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.728 * [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)))
7.728 * [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))))
7.728 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.729 * [backup-simplify]: Simplify (+ 0) into 0
7.729 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.731 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.731 * [backup-simplify]: Simplify (+ 0 0) into 0
7.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.732 * [backup-simplify]: Simplify (+ 0 0) into 0
7.732 * [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
7.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.733 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.733 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.733 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.733 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.733 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.733 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.733 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.734 * [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)))))
7.734 * [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)))))
7.735 * [backup-simplify]: Simplify (+ 0) into 0
7.735 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.737 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.737 * [backup-simplify]: Simplify (+ 0 0) into 0
7.737 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.738 * [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
7.738 * [taylor]: Taking taylor expansion of 0 in ky
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [taylor]: Taking taylor expansion of 0 in kx
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify (+ 0) into 0
7.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
7.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
7.741 * [backup-simplify]: Simplify (+ 0 0) into 0
7.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.742 * [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
7.742 * [taylor]: Taking taylor expansion of 0 in kx
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify (+ 0) into 0
7.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.744 * [backup-simplify]: Simplify (+ 0 0) into 0
7.744 * [backup-simplify]: Simplify (+ 0) into 0
7.745 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
7.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.746 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
7.746 * [backup-simplify]: Simplify (+ 0 0) into 0
7.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.746 * [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
7.746 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.748 * [backup-simplify]: Simplify (+ 0 0) into 0
7.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.750 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.751 * [backup-simplify]: Simplify (+ 0 0) into 0
7.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.753 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.753 * [backup-simplify]: Simplify (+ 0 0) into 0
7.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.754 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.755 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.755 * [backup-simplify]: Simplify (+ 0 0) into 0
7.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.759 * [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
7.759 * [taylor]: Taking taylor expansion of 0 in ky
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [taylor]: Taking taylor expansion of 0 in kx
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [taylor]: Taking taylor expansion of 0 in kx
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify 0 into 0
7.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.762 * [backup-simplify]: Simplify (+ 0 0) into 0
7.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.763 * [backup-simplify]: Simplify (+ 0 0) into 0
7.763 * [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
7.764 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.766 * [backup-simplify]: Simplify (+ 0 0) into 0
7.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.767 * [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
7.767 * [taylor]: Taking taylor expansion of 0 in kx
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [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)))
7.767 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
7.767 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
7.767 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
7.767 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
7.768 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
7.768 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
7.768 * [taylor]: Taking taylor expansion of -1 in kx
7.768 * [backup-simplify]: Simplify -1 into -1
7.768 * [taylor]: Taking taylor expansion of th in kx
7.768 * [backup-simplify]: Simplify th into th
7.768 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.768 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.768 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.768 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.768 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.768 * [taylor]: Taking taylor expansion of -1 in kx
7.768 * [backup-simplify]: Simplify -1 into -1
7.768 * [taylor]: Taking taylor expansion of ky in kx
7.768 * [backup-simplify]: Simplify ky into ky
7.768 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.768 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.768 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.768 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.768 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.768 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.768 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.768 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.768 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.768 * [taylor]: Taking taylor expansion of -1 in kx
7.768 * [backup-simplify]: Simplify -1 into -1
7.768 * [taylor]: Taking taylor expansion of ky in kx
7.768 * [backup-simplify]: Simplify ky into ky
7.768 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.768 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.768 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.768 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.768 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.768 * [taylor]: Taking taylor expansion of -1 in kx
7.768 * [backup-simplify]: Simplify -1 into -1
7.768 * [taylor]: Taking taylor expansion of ky in kx
7.768 * [backup-simplify]: Simplify ky into ky
7.768 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.768 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.768 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.768 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.768 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.768 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.769 * [taylor]: Taking taylor expansion of -1 in kx
7.769 * [backup-simplify]: Simplify -1 into -1
7.769 * [taylor]: Taking taylor expansion of kx in kx
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 1 into 1
7.769 * [backup-simplify]: Simplify (/ -1 1) into -1
7.769 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.769 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.769 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.769 * [taylor]: Taking taylor expansion of -1 in kx
7.769 * [backup-simplify]: Simplify -1 into -1
7.769 * [taylor]: Taking taylor expansion of kx in kx
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 1 into 1
7.769 * [backup-simplify]: Simplify (/ -1 1) into -1
7.769 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.769 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.769 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.770 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.770 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.770 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.770 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.770 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.770 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.770 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.770 * [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)))
7.770 * [backup-simplify]: Simplify (+ 0) into 0
7.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.771 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.772 * [backup-simplify]: Simplify (+ 0 0) into 0
7.773 * [backup-simplify]: Simplify (+ 0) into 0
7.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.774 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.775 * [backup-simplify]: Simplify (+ 0 0) into 0
7.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.775 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.776 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.776 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.776 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.776 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.777 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.777 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.777 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.777 * [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)))))
7.777 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
7.777 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
7.777 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
7.777 * [taylor]: Taking taylor expansion of -1 in ky
7.777 * [backup-simplify]: Simplify -1 into -1
7.777 * [taylor]: Taking taylor expansion of th in ky
7.777 * [backup-simplify]: Simplify th into th
7.777 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.778 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.778 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.778 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.778 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.778 * [taylor]: Taking taylor expansion of -1 in ky
7.778 * [backup-simplify]: Simplify -1 into -1
7.778 * [taylor]: Taking taylor expansion of ky in ky
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 1 into 1
7.778 * [backup-simplify]: Simplify (/ -1 1) into -1
7.778 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.778 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.778 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.778 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.779 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.779 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.779 * [taylor]: Taking taylor expansion of -1 in ky
7.779 * [backup-simplify]: Simplify -1 into -1
7.779 * [taylor]: Taking taylor expansion of ky in ky
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify (/ -1 1) into -1
7.779 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.779 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.779 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.779 * [taylor]: Taking taylor expansion of -1 in ky
7.779 * [backup-simplify]: Simplify -1 into -1
7.779 * [taylor]: Taking taylor expansion of ky in ky
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.780 * [backup-simplify]: Simplify (/ -1 1) into -1
7.780 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.780 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.780 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.780 * [taylor]: Taking taylor expansion of -1 in ky
7.780 * [backup-simplify]: Simplify -1 into -1
7.780 * [taylor]: Taking taylor expansion of kx in ky
7.780 * [backup-simplify]: Simplify kx into kx
7.780 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.780 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.780 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.780 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.780 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.780 * [taylor]: Taking taylor expansion of -1 in ky
7.780 * [backup-simplify]: Simplify -1 into -1
7.781 * [taylor]: Taking taylor expansion of kx in ky
7.781 * [backup-simplify]: Simplify kx into kx
7.781 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.781 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.781 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.781 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.781 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.781 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.781 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.781 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.781 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.781 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.782 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.782 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.782 * [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)))
7.782 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.783 * [backup-simplify]: Simplify (+ 0) into 0
7.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.783 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.785 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.785 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (+ 0) into 0
7.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.786 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.787 * [backup-simplify]: Simplify (+ 0 0) into 0
7.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.788 * [backup-simplify]: Simplify (+ 0 0) into 0
7.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.788 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.789 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.789 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.789 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.789 * [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)))))
7.789 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
7.789 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
7.789 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
7.789 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.789 * [taylor]: Taking taylor expansion of -1 in th
7.789 * [backup-simplify]: Simplify -1 into -1
7.789 * [taylor]: Taking taylor expansion of th in th
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (/ -1 1) into -1
7.790 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.790 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.790 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.790 * [taylor]: Taking taylor expansion of -1 in th
7.790 * [backup-simplify]: Simplify -1 into -1
7.790 * [taylor]: Taking taylor expansion of ky in th
7.790 * [backup-simplify]: Simplify ky into ky
7.790 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.790 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.790 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.790 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
7.790 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.790 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
7.790 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
7.790 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.791 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.791 * [taylor]: Taking taylor expansion of -1 in th
7.791 * [backup-simplify]: Simplify -1 into -1
7.791 * [taylor]: Taking taylor expansion of ky in th
7.791 * [backup-simplify]: Simplify ky into ky
7.791 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.791 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.791 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.791 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.791 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.791 * [taylor]: Taking taylor expansion of -1 in th
7.791 * [backup-simplify]: Simplify -1 into -1
7.791 * [taylor]: Taking taylor expansion of ky in th
7.791 * [backup-simplify]: Simplify ky into ky
7.791 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.791 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.791 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.791 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
7.791 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.791 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.791 * [taylor]: Taking taylor expansion of -1 in th
7.791 * [backup-simplify]: Simplify -1 into -1
7.791 * [taylor]: Taking taylor expansion of kx in th
7.791 * [backup-simplify]: Simplify kx into kx
7.791 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.792 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.792 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.792 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.792 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.792 * [taylor]: Taking taylor expansion of -1 in th
7.792 * [backup-simplify]: Simplify -1 into -1
7.792 * [taylor]: Taking taylor expansion of kx in th
7.792 * [backup-simplify]: Simplify kx into kx
7.792 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.792 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.792 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.792 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.792 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.792 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.792 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.792 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.792 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.793 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.793 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.793 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.793 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.793 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.793 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.793 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.793 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.793 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.794 * [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)))
7.794 * [backup-simplify]: Simplify (+ 0) into 0
7.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.795 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.797 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.797 * [backup-simplify]: Simplify (+ 0 0) into 0
7.797 * [backup-simplify]: Simplify (+ 0) into 0
7.800 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.800 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.802 * [backup-simplify]: Simplify (+ 0 0) into 0
7.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.802 * [backup-simplify]: Simplify (+ 0) into 0
7.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.803 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.805 * [backup-simplify]: Simplify (+ 0 0) into 0
7.805 * [backup-simplify]: Simplify (+ 0) into 0
7.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.806 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.807 * [backup-simplify]: Simplify (+ 0 0) into 0
7.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.808 * [backup-simplify]: Simplify (+ 0 0) into 0
7.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.808 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.808 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.808 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.809 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.809 * [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)))))
7.809 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
7.809 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
7.809 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
7.809 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.809 * [taylor]: Taking taylor expansion of -1 in th
7.809 * [backup-simplify]: Simplify -1 into -1
7.809 * [taylor]: Taking taylor expansion of th in th
7.809 * [backup-simplify]: Simplify 0 into 0
7.809 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (/ -1 1) into -1
7.810 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.810 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.810 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.810 * [taylor]: Taking taylor expansion of -1 in th
7.810 * [backup-simplify]: Simplify -1 into -1
7.810 * [taylor]: Taking taylor expansion of ky in th
7.810 * [backup-simplify]: Simplify ky into ky
7.810 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.810 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.810 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.810 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
7.810 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.810 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
7.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
7.810 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.810 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.810 * [taylor]: Taking taylor expansion of -1 in th
7.810 * [backup-simplify]: Simplify -1 into -1
7.811 * [taylor]: Taking taylor expansion of ky in th
7.811 * [backup-simplify]: Simplify ky into ky
7.811 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.811 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.811 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.811 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.811 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.811 * [taylor]: Taking taylor expansion of -1 in th
7.811 * [backup-simplify]: Simplify -1 into -1
7.811 * [taylor]: Taking taylor expansion of ky in th
7.811 * [backup-simplify]: Simplify ky into ky
7.811 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.811 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.811 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.811 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
7.811 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.811 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.811 * [taylor]: Taking taylor expansion of -1 in th
7.811 * [backup-simplify]: Simplify -1 into -1
7.811 * [taylor]: Taking taylor expansion of kx in th
7.811 * [backup-simplify]: Simplify kx into kx
7.811 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.811 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.812 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.812 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.812 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.812 * [taylor]: Taking taylor expansion of -1 in th
7.812 * [backup-simplify]: Simplify -1 into -1
7.812 * [taylor]: Taking taylor expansion of kx in th
7.812 * [backup-simplify]: Simplify kx into kx
7.812 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.812 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.812 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.812 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.812 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.812 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.812 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.812 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.812 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.813 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.813 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.813 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.813 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.813 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.813 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.813 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.813 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.813 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.814 * [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)))
7.814 * [backup-simplify]: Simplify (+ 0) into 0
7.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.815 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.817 * [backup-simplify]: Simplify (+ 0 0) into 0
7.817 * [backup-simplify]: Simplify (+ 0) into 0
7.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.818 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.819 * [backup-simplify]: Simplify (+ 0 0) into 0
7.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.820 * [backup-simplify]: Simplify (+ 0) into 0
7.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.820 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.822 * [backup-simplify]: Simplify (+ 0 0) into 0
7.822 * [backup-simplify]: Simplify (+ 0) into 0
7.823 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.823 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.825 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.826 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.826 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.826 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.826 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.826 * [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)))))
7.826 * [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
7.826 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
7.826 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
7.826 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
7.826 * [taylor]: Taking taylor expansion of -1 in ky
7.826 * [backup-simplify]: Simplify -1 into -1
7.827 * [taylor]: Taking taylor expansion of th in ky
7.827 * [backup-simplify]: Simplify th into th
7.827 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.827 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.827 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.827 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.827 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.827 * [taylor]: Taking taylor expansion of -1 in ky
7.827 * [backup-simplify]: Simplify -1 into -1
7.827 * [taylor]: Taking taylor expansion of ky in ky
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (/ -1 1) into -1
7.827 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
7.828 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
7.828 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
7.828 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
7.828 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.828 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.828 * [taylor]: Taking taylor expansion of -1 in ky
7.828 * [backup-simplify]: Simplify -1 into -1
7.828 * [taylor]: Taking taylor expansion of kx in ky
7.828 * [backup-simplify]: Simplify kx into kx
7.828 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.828 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.828 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.828 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.828 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.828 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.828 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
7.828 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.828 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.828 * [taylor]: Taking taylor expansion of -1 in ky
7.828 * [backup-simplify]: Simplify -1 into -1
7.828 * [taylor]: Taking taylor expansion of ky in ky
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 1 into 1
7.829 * [backup-simplify]: Simplify (/ -1 1) into -1
7.829 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.829 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.829 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.829 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.830 * [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)))
7.830 * [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))))
7.830 * [backup-simplify]: Simplify (+ 0) into 0
7.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.831 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.832 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.833 * [backup-simplify]: Simplify (+ 0 0) into 0
7.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.834 * [backup-simplify]: Simplify (+ 0 0) into 0
7.834 * [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
7.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.835 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.835 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.835 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.835 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.835 * [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)))))
7.835 * [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
7.835 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
7.835 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
7.835 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
7.835 * [taylor]: Taking taylor expansion of -1 in kx
7.835 * [backup-simplify]: Simplify -1 into -1
7.835 * [taylor]: Taking taylor expansion of th in kx
7.835 * [backup-simplify]: Simplify th into th
7.836 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.836 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.836 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.836 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.836 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.836 * [taylor]: Taking taylor expansion of -1 in kx
7.836 * [backup-simplify]: Simplify -1 into -1
7.836 * [taylor]: Taking taylor expansion of ky in kx
7.836 * [backup-simplify]: Simplify ky into ky
7.836 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.836 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.836 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
7.836 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.836 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.836 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.836 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.836 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.836 * [taylor]: Taking taylor expansion of -1 in kx
7.836 * [backup-simplify]: Simplify -1 into -1
7.836 * [taylor]: Taking taylor expansion of kx in kx
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.837 * [backup-simplify]: Simplify (/ -1 1) into -1
7.837 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.837 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.837 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.837 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.837 * [taylor]: Taking taylor expansion of -1 in kx
7.837 * [backup-simplify]: Simplify -1 into -1
7.837 * [taylor]: Taking taylor expansion of ky in kx
7.837 * [backup-simplify]: Simplify ky into ky
7.837 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.837 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.837 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.838 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.838 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.838 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.838 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.838 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.838 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.838 * [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)))
7.839 * [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))))
7.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.839 * [backup-simplify]: Simplify (+ 0) into 0
7.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.840 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.842 * [backup-simplify]: Simplify (+ 0 0) into 0
7.842 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.842 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [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
7.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.843 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.843 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.843 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.844 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.844 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.844 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.844 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.844 * [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)))))
7.845 * [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)))))
7.845 * [backup-simplify]: Simplify (+ 0) into 0
7.846 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.846 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.847 * [backup-simplify]: Simplify (+ 0 0) into 0
7.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.849 * [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
7.849 * [taylor]: Taking taylor expansion of 0 in ky
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [taylor]: Taking taylor expansion of 0 in kx
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify (+ 0) into 0
7.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
7.850 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.852 * [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
7.852 * [taylor]: Taking taylor expansion of 0 in kx
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (+ 0) into 0
7.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.854 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.855 * [backup-simplify]: Simplify (+ 0 0) into 0
7.856 * [backup-simplify]: Simplify (+ 0) into 0
7.857 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
7.857 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.858 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.859 * [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
7.859 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.861 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.863 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.864 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.864 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.865 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.865 * [backup-simplify]: Simplify (+ 0 0) into 0
7.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.866 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.867 * [backup-simplify]: Simplify (+ 0 0) into 0
7.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.869 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.869 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.869 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.870 * [backup-simplify]: Simplify (+ 0 0) into 0
7.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.871 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.871 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.873 * [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
7.874 * [taylor]: Taking taylor expansion of 0 in ky
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [taylor]: Taking taylor expansion of 0 in kx
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [taylor]: Taking taylor expansion of 0 in kx
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.875 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.875 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.876 * [backup-simplify]: Simplify (+ 0 0) into 0
7.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.877 * [backup-simplify]: Simplify (+ 0 0) into 0
7.877 * [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
7.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.879 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.880 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.881 * [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
7.881 * [taylor]: Taking taylor expansion of 0 in kx
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [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)))
7.881 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
7.881 * [backup-simplify]: Simplify (/ (hypot (sin ky) (sin kx)) (sin ky)) into (/ (hypot (sin ky) (sin kx)) (sin ky))
7.881 * [approximate]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in (ky kx) around 0
7.881 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx
7.881 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.881 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.881 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.881 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.881 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.881 * [taylor]: Taking taylor expansion of ky in kx
7.881 * [backup-simplify]: Simplify ky into ky
7.881 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.881 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.881 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.881 * [taylor]: Taking taylor expansion of ky in kx
7.881 * [backup-simplify]: Simplify ky into ky
7.881 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.881 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.881 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.881 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.881 * [taylor]: Taking taylor expansion of kx in kx
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.882 * [taylor]: Taking taylor expansion of kx in kx
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.882 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.882 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.882 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.882 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.882 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.882 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.882 * [backup-simplify]: Simplify (* 0 0) into 0
7.882 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.882 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.882 * [backup-simplify]: Simplify (+ 0) into 0
7.883 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.884 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.884 * [backup-simplify]: Simplify (+ 0) into 0
7.884 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.885 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.887 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.887 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.887 * [taylor]: Taking taylor expansion of ky in kx
7.887 * [backup-simplify]: Simplify ky into ky
7.887 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.887 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.887 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.887 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.887 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.887 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
7.887 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
7.887 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.887 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.887 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.887 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.887 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.887 * [taylor]: Taking taylor expansion of ky in ky
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.887 * [taylor]: Taking taylor expansion of ky in ky
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.887 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.887 * [taylor]: Taking taylor expansion of kx in ky
7.887 * [backup-simplify]: Simplify kx into kx
7.888 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.888 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.888 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.888 * [taylor]: Taking taylor expansion of kx in ky
7.888 * [backup-simplify]: Simplify kx into kx
7.888 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.888 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.888 * [backup-simplify]: Simplify (* 0 0) into 0
7.888 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.888 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.888 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.888 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.888 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.888 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.888 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.888 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.888 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.890 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.890 * [backup-simplify]: Simplify (+ 0) into 0
7.890 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.891 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.891 * [backup-simplify]: Simplify (+ 0 0) into 0
7.891 * [backup-simplify]: Simplify (+ 0) into 0
7.892 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.892 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.892 * [backup-simplify]: Simplify (+ 0 0) into 0
7.893 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.893 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.893 * [taylor]: Taking taylor expansion of ky in ky
7.893 * [backup-simplify]: Simplify 0 into 0
7.893 * [backup-simplify]: Simplify 1 into 1
7.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.893 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
7.893 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
7.893 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.894 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.894 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.894 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.894 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.894 * [taylor]: Taking taylor expansion of ky in ky
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.894 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.894 * [taylor]: Taking taylor expansion of ky in ky
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.894 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.894 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.894 * [taylor]: Taking taylor expansion of kx in ky
7.894 * [backup-simplify]: Simplify kx into kx
7.894 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.894 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.894 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.894 * [taylor]: Taking taylor expansion of kx in ky
7.894 * [backup-simplify]: Simplify kx into kx
7.894 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.894 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.894 * [backup-simplify]: Simplify (* 0 0) into 0
7.894 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.894 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.894 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.894 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.894 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.894 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.894 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.895 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.895 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.897 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.897 * [backup-simplify]: Simplify (+ 0) into 0
7.897 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.899 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.899 * [backup-simplify]: Simplify (+ 0 0) into 0
7.899 * [backup-simplify]: Simplify (+ 0) into 0
7.900 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.901 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.901 * [backup-simplify]: Simplify (+ 0 0) into 0
7.902 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.902 * [backup-simplify]: Simplify (+ 0 0) into 0
7.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.902 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.902 * [taylor]: Taking taylor expansion of ky in ky
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.903 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
7.903 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.903 * [taylor]: Taking taylor expansion of kx in kx
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 1 into 1
7.903 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)))) into 0
7.905 * [taylor]: Taking taylor expansion of 0 in kx
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.906 * [backup-simplify]: Simplify 1 into 1
7.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.909 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.909 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.911 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.911 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.912 * [backup-simplify]: Simplify (+ 0 0) into 0
7.912 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.912 * [backup-simplify]: Simplify (+ 1 0) into 1
7.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.914 * [backup-simplify]: Simplify (- (/ (/ 1/2 (sin kx)) 1) (+ (* (sin kx) (/ -1/6 1)) (* 0 (/ 0 1)))) into (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx))))
7.914 * [taylor]: Taking taylor expansion of (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) in kx
7.914 * [taylor]: Taking taylor expansion of (* 1/6 (sin kx)) in kx
7.914 * [taylor]: Taking taylor expansion of 1/6 in kx
7.914 * [backup-simplify]: Simplify 1/6 into 1/6
7.914 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.914 * [taylor]: Taking taylor expansion of kx in kx
7.915 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify 1 into 1
7.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sin kx))) in kx
7.915 * [taylor]: Taking taylor expansion of 1/2 in kx
7.915 * [backup-simplify]: Simplify 1/2 into 1/2
7.915 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.915 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.915 * [taylor]: Taking taylor expansion of kx in kx
7.915 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify 1 into 1
7.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.915 * [backup-simplify]: Simplify (/ 1 1) into 1
7.916 * [backup-simplify]: Simplify (* 1/6 0) into 0
7.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.918 * [backup-simplify]: Simplify (+ 0 0) into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.923 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.923 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.924 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.925 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.926 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.928 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.928 * [backup-simplify]: Simplify (+ 0 0) into 0
7.928 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.929 * [backup-simplify]: Simplify (+ 0 0) into 0
7.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.930 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)) (* 0 (/ -1/6 1)) (* (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) (/ 0 1)))) into 0
7.931 * [taylor]: Taking taylor expansion of 0 in kx
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.932 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
7.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.934 * [backup-simplify]: Simplify (+ (* 1/2 1/6) (+ (* 0 0) (* 0 1))) into 1/12
7.934 * [backup-simplify]: Simplify (+ 1/6 1/12) into 1/4
7.934 * [backup-simplify]: Simplify 1/4 into 1/4
7.934 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.935 * [backup-simplify]: Simplify -1/6 into -1/6
7.935 * [backup-simplify]: Simplify (+ (* -1/6 (* (pow kx 3) (/ 1 ky))) (+ (* 1/4 (* kx ky)) (* 1 (* kx (/ 1 ky))))) into (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
7.935 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) into (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))
7.936 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in (ky kx) around 0
7.936 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx
7.936 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.936 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.936 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.936 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.936 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.936 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.936 * [taylor]: Taking taylor expansion of ky in kx
7.936 * [backup-simplify]: Simplify ky into ky
7.936 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.936 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.936 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.936 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.936 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.936 * [taylor]: Taking taylor expansion of ky in kx
7.936 * [backup-simplify]: Simplify ky into ky
7.936 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.936 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.936 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.936 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.936 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.936 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.936 * [taylor]: Taking taylor expansion of kx in kx
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 1 into 1
7.936 * [backup-simplify]: Simplify (/ 1 1) into 1
7.936 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.936 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.937 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.937 * [taylor]: Taking taylor expansion of kx in kx
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify (/ 1 1) into 1
7.937 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.937 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.937 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.937 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.937 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.937 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.937 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.938 * [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)))
7.938 * [backup-simplify]: Simplify (+ 0) into 0
7.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.940 * [backup-simplify]: Simplify (+ 0) into 0
7.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.942 * [backup-simplify]: Simplify (+ 0 0) into 0
7.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.943 * [backup-simplify]: Simplify (+ 0 0) into 0
7.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.943 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.943 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.943 * [taylor]: Taking taylor expansion of ky in kx
7.943 * [backup-simplify]: Simplify ky into ky
7.944 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.944 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.944 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.944 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.944 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.944 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.944 * [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))))
7.944 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
7.944 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.944 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.944 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.945 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.945 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.945 * [taylor]: Taking taylor expansion of ky in ky
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 1 into 1
7.945 * [backup-simplify]: Simplify (/ 1 1) into 1
7.945 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.945 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.945 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.945 * [taylor]: Taking taylor expansion of ky in ky
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 1 into 1
7.946 * [backup-simplify]: Simplify (/ 1 1) into 1
7.946 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.946 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.946 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.946 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.946 * [taylor]: Taking taylor expansion of kx in ky
7.946 * [backup-simplify]: Simplify kx into kx
7.946 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.946 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.946 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.946 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.946 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.946 * [taylor]: Taking taylor expansion of kx in ky
7.946 * [backup-simplify]: Simplify kx into kx
7.946 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.946 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.946 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.946 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.947 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.947 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.947 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.947 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.947 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.947 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.947 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.947 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.948 * [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)))
7.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.948 * [backup-simplify]: Simplify (+ 0) into 0
7.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.951 * [backup-simplify]: Simplify (+ 0 0) into 0
7.951 * [backup-simplify]: Simplify (+ 0) into 0
7.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.953 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.954 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.954 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.954 * [taylor]: Taking taylor expansion of ky in ky
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify 1 into 1
7.955 * [backup-simplify]: Simplify (/ 1 1) into 1
7.955 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.955 * [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))))
7.955 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
7.955 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.956 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.956 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.956 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.956 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.956 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.956 * [taylor]: Taking taylor expansion of ky in ky
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [backup-simplify]: Simplify (/ 1 1) into 1
7.956 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.956 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.956 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.956 * [taylor]: Taking taylor expansion of ky in ky
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.957 * [backup-simplify]: Simplify (/ 1 1) into 1
7.957 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.957 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.957 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.957 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.957 * [taylor]: Taking taylor expansion of kx in ky
7.957 * [backup-simplify]: Simplify kx into kx
7.957 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.957 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.957 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.957 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.957 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.957 * [taylor]: Taking taylor expansion of kx in ky
7.957 * [backup-simplify]: Simplify kx into kx
7.957 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.957 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.957 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.958 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.958 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.958 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.958 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.958 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.958 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.958 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.958 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.959 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.959 * [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)))
7.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.959 * [backup-simplify]: Simplify (+ 0) into 0
7.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.961 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.962 * [backup-simplify]: Simplify (+ 0 0) into 0
7.962 * [backup-simplify]: Simplify (+ 0) into 0
7.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.964 * [backup-simplify]: Simplify (+ 0 0) into 0
7.964 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.965 * [backup-simplify]: Simplify (+ 0 0) into 0
7.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.965 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.965 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.965 * [taylor]: Taking taylor expansion of ky in ky
7.965 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify 1 into 1
7.966 * [backup-simplify]: Simplify (/ 1 1) into 1
7.966 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.966 * [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))))
7.966 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in kx
7.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.966 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.966 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.966 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.966 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.966 * [taylor]: Taking taylor expansion of kx in kx
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 1 into 1
7.967 * [backup-simplify]: Simplify (/ 1 1) into 1
7.967 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.967 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.967 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.967 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.967 * [taylor]: Taking taylor expansion of ky in kx
7.967 * [backup-simplify]: Simplify ky into ky
7.968 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.968 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.968 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.968 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.968 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.968 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.968 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.968 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.968 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.969 * [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)))
7.969 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.969 * [backup-simplify]: Simplify (+ 0) into 0
7.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.972 * [backup-simplify]: Simplify (+ 0 0) into 0
7.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.972 * [backup-simplify]: Simplify (+ 0 0) into 0
7.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.973 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in kx
7.973 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.973 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.973 * [taylor]: Taking taylor expansion of ky in kx
7.973 * [backup-simplify]: Simplify ky into ky
7.973 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.973 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.973 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.973 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.973 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.973 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.973 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
7.974 * [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))))
7.974 * [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))))
7.974 * [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
7.975 * [taylor]: Taking taylor expansion of 0 in kx
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify (+ 0) into 0
7.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.977 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.977 * [backup-simplify]: Simplify (+ 0 0) into 0
7.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0
7.978 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) into 0
7.978 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.982 * [backup-simplify]: Simplify (+ 0 0) into 0
7.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.986 * [backup-simplify]: Simplify (+ 0 0) into 0
7.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.987 * [backup-simplify]: Simplify (+ 0 0) into 0
7.988 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.988 * [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
7.988 * [taylor]: Taking taylor expansion of 0 in kx
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.991 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
7.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.996 * [backup-simplify]: Simplify (+ 0 0) into 0
7.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.997 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.999 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) into 0
7.999 * [backup-simplify]: Simplify 0 into 0
8.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
8.001 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.004 * [backup-simplify]: Simplify (+ 0 0) into 0
8.005 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.009 * [backup-simplify]: Simplify (+ 0 0) into 0
8.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.012 * [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
8.012 * [taylor]: Taking taylor expansion of 0 in kx
8.012 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [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)))
8.013 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) into (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky)))
8.013 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in (ky kx) around 0
8.013 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in kx
8.013 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
8.013 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
8.013 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
8.013 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
8.013 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.014 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.014 * [taylor]: Taking taylor expansion of -1 in kx
8.014 * [backup-simplify]: Simplify -1 into -1
8.014 * [taylor]: Taking taylor expansion of ky in kx
8.014 * [backup-simplify]: Simplify ky into ky
8.014 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.014 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.014 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.014 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.014 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.014 * [taylor]: Taking taylor expansion of -1 in kx
8.014 * [backup-simplify]: Simplify -1 into -1
8.014 * [taylor]: Taking taylor expansion of ky in kx
8.014 * [backup-simplify]: Simplify ky into ky
8.014 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.014 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.014 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.014 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
8.014 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
8.014 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
8.014 * [taylor]: Taking taylor expansion of -1 in kx
8.014 * [backup-simplify]: Simplify -1 into -1
8.014 * [taylor]: Taking taylor expansion of kx in kx
8.014 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 1 into 1
8.015 * [backup-simplify]: Simplify (/ -1 1) into -1
8.015 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.015 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
8.015 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
8.015 * [taylor]: Taking taylor expansion of -1 in kx
8.015 * [backup-simplify]: Simplify -1 into -1
8.015 * [taylor]: Taking taylor expansion of kx in kx
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 1 into 1
8.016 * [backup-simplify]: Simplify (/ -1 1) into -1
8.016 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.016 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.016 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.016 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.017 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.017 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.017 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.017 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.017 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.017 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.018 * [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)))
8.018 * [backup-simplify]: Simplify (+ 0) into 0
8.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.019 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.020 * [backup-simplify]: Simplify (+ 0 0) into 0
8.021 * [backup-simplify]: Simplify (+ 0) into 0
8.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.021 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.024 * [backup-simplify]: Simplify (+ 0 0) into 0
8.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.024 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.024 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.024 * [taylor]: Taking taylor expansion of -1 in kx
8.024 * [backup-simplify]: Simplify -1 into -1
8.024 * [taylor]: Taking taylor expansion of ky in kx
8.024 * [backup-simplify]: Simplify ky into ky
8.024 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.024 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.024 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.024 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.025 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.025 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.025 * [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))))
8.025 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
8.025 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
8.025 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
8.025 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
8.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
8.025 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.025 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.025 * [taylor]: Taking taylor expansion of -1 in ky
8.025 * [backup-simplify]: Simplify -1 into -1
8.025 * [taylor]: Taking taylor expansion of ky in ky
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify 1 into 1
8.026 * [backup-simplify]: Simplify (/ -1 1) into -1
8.026 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.026 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.026 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.026 * [taylor]: Taking taylor expansion of -1 in ky
8.026 * [backup-simplify]: Simplify -1 into -1
8.026 * [taylor]: Taking taylor expansion of ky in ky
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.027 * [backup-simplify]: Simplify (/ -1 1) into -1
8.027 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
8.027 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.027 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.027 * [taylor]: Taking taylor expansion of -1 in ky
8.027 * [backup-simplify]: Simplify -1 into -1
8.027 * [taylor]: Taking taylor expansion of kx in ky
8.027 * [backup-simplify]: Simplify kx into kx
8.027 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.027 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.027 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.027 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.027 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.027 * [taylor]: Taking taylor expansion of -1 in ky
8.027 * [backup-simplify]: Simplify -1 into -1
8.027 * [taylor]: Taking taylor expansion of kx in ky
8.027 * [backup-simplify]: Simplify kx into kx
8.028 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.028 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.028 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.028 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.028 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.028 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.028 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.028 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.028 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.028 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.028 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.029 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.029 * [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)))
8.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.030 * [backup-simplify]: Simplify (+ 0) into 0
8.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.030 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.032 * [backup-simplify]: Simplify (+ 0 0) into 0
8.032 * [backup-simplify]: Simplify (+ 0) into 0
8.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.033 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.035 * [backup-simplify]: Simplify (+ 0 0) into 0
8.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.035 * [backup-simplify]: Simplify (+ 0 0) into 0
8.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.036 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.036 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.036 * [taylor]: Taking taylor expansion of -1 in ky
8.036 * [backup-simplify]: Simplify -1 into -1
8.036 * [taylor]: Taking taylor expansion of ky in ky
8.036 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify 1 into 1
8.036 * [backup-simplify]: Simplify (/ -1 1) into -1
8.036 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.036 * [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))))
8.037 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
8.037 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
8.037 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
8.037 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
8.037 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
8.037 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.037 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.037 * [taylor]: Taking taylor expansion of -1 in ky
8.037 * [backup-simplify]: Simplify -1 into -1
8.037 * [taylor]: Taking taylor expansion of ky in ky
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.037 * [backup-simplify]: Simplify (/ -1 1) into -1
8.037 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.037 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.037 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.037 * [taylor]: Taking taylor expansion of -1 in ky
8.037 * [backup-simplify]: Simplify -1 into -1
8.038 * [taylor]: Taking taylor expansion of ky in ky
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.038 * [backup-simplify]: Simplify (/ -1 1) into -1
8.038 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
8.038 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.038 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.038 * [taylor]: Taking taylor expansion of -1 in ky
8.038 * [backup-simplify]: Simplify -1 into -1
8.038 * [taylor]: Taking taylor expansion of kx in ky
8.038 * [backup-simplify]: Simplify kx into kx
8.038 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.038 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.038 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.039 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.039 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.039 * [taylor]: Taking taylor expansion of -1 in ky
8.039 * [backup-simplify]: Simplify -1 into -1
8.039 * [taylor]: Taking taylor expansion of kx in ky
8.039 * [backup-simplify]: Simplify kx into kx
8.039 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.039 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.039 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.039 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.039 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.039 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.039 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.039 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.040 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.040 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.040 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.040 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.040 * [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)))
8.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.041 * [backup-simplify]: Simplify (+ 0) into 0
8.042 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.042 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.043 * [backup-simplify]: Simplify (+ 0 0) into 0
8.044 * [backup-simplify]: Simplify (+ 0) into 0
8.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.045 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.046 * [backup-simplify]: Simplify (+ 0 0) into 0
8.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.047 * [backup-simplify]: Simplify (+ 0 0) into 0
8.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.047 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.047 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.047 * [taylor]: Taking taylor expansion of -1 in ky
8.047 * [backup-simplify]: Simplify -1 into -1
8.047 * [taylor]: Taking taylor expansion of ky in ky
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 1 into 1
8.048 * [backup-simplify]: Simplify (/ -1 1) into -1
8.048 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.048 * [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))))
8.048 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in kx
8.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
8.048 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
8.048 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
8.048 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
8.048 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
8.048 * [taylor]: Taking taylor expansion of -1 in kx
8.048 * [backup-simplify]: Simplify -1 into -1
8.048 * [taylor]: Taking taylor expansion of kx in kx
8.049 * [backup-simplify]: Simplify 0 into 0
8.049 * [backup-simplify]: Simplify 1 into 1
8.049 * [backup-simplify]: Simplify (/ -1 1) into -1
8.049 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.049 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
8.049 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.049 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.049 * [taylor]: Taking taylor expansion of -1 in kx
8.049 * [backup-simplify]: Simplify -1 into -1
8.049 * [taylor]: Taking taylor expansion of ky in kx
8.049 * [backup-simplify]: Simplify ky into ky
8.049 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.049 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.049 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.050 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.050 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.050 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.050 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.050 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.050 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.050 * [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)))
8.051 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.051 * [backup-simplify]: Simplify (+ 0) into 0
8.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.052 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.053 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.054 * [backup-simplify]: Simplify (+ 0 0) into 0
8.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.054 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in kx
8.054 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.054 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.054 * [taylor]: Taking taylor expansion of -1 in kx
8.054 * [backup-simplify]: Simplify -1 into -1
8.054 * [taylor]: Taking taylor expansion of ky in kx
8.054 * [backup-simplify]: Simplify ky into ky
8.054 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.054 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.054 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.055 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.055 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.055 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.055 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
8.055 * [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))))
8.056 * [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))))
8.056 * [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
8.056 * [taylor]: Taking taylor expansion of 0 in kx
8.056 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify (+ 0) into 0
8.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.057 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0
8.059 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) into 0
8.059 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
8.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
8.062 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.063 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
8.063 * [backup-simplify]: Simplify (+ 0 0) into 0
8.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.067 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
8.067 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
8.069 * [backup-simplify]: Simplify (+ 0 0) into 0
8.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
8.070 * [backup-simplify]: Simplify (+ 0 0) into 0
8.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.071 * [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
8.071 * [taylor]: Taking taylor expansion of 0 in kx
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
8.073 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
8.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
8.075 * [backup-simplify]: Simplify (+ 0 0) into 0
8.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
8.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
8.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
8.077 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
8.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
8.079 * [backup-simplify]: Simplify (+ 0 0) into 0
8.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
8.080 * [backup-simplify]: Simplify (+ 0 0) into 0
8.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.082 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) into 0
8.082 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
8.084 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.086 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.092 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.093 * [backup-simplify]: Simplify (+ 0 0) into 0
8.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
8.094 * [backup-simplify]: Simplify (+ 0 0) into 0
8.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.095 * [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
8.095 * [taylor]: Taking taylor expansion of 0 in kx
8.095 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify 0 into 0
8.096 * [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)))
8.096 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
8.096 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
8.096 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
8.096 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
8.096 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
8.096 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
8.096 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
8.096 * [taylor]: Taking taylor expansion of (sin ky) in kx
8.096 * [taylor]: Taking taylor expansion of ky in kx
8.096 * [backup-simplify]: Simplify ky into ky
8.096 * [backup-simplify]: Simplify (sin ky) into (sin ky)
8.096 * [backup-simplify]: Simplify (cos ky) into (cos ky)
8.096 * [taylor]: Taking taylor expansion of (sin ky) in kx
8.096 * [taylor]: Taking taylor expansion of ky in kx
8.096 * [backup-simplify]: Simplify ky into ky
8.097 * [backup-simplify]: Simplify (sin ky) into (sin ky)
8.097 * [backup-simplify]: Simplify (cos ky) into (cos ky)
8.097 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
8.097 * [taylor]: Taking taylor expansion of (sin kx) in kx
8.097 * [taylor]: Taking taylor expansion of kx in kx
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 1 into 1
8.097 * [taylor]: Taking taylor expansion of (sin kx) in kx
8.097 * [taylor]: Taking taylor expansion of kx in kx
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 1 into 1
8.097 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
8.097 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
8.097 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
8.097 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
8.097 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
8.097 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
8.097 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
8.098 * [backup-simplify]: Simplify (* 0 0) into 0
8.098 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
8.098 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
8.098 * [backup-simplify]: Simplify (+ 0) into 0
8.099 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
8.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.100 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
8.100 * [backup-simplify]: Simplify (+ 0 0) into 0
8.101 * [backup-simplify]: Simplify (+ 0) into 0
8.101 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
8.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.102 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
8.103 * [backup-simplify]: Simplify (+ 0 0) into 0
8.103 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
8.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.104 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.104 * [backup-simplify]: Simplify (+ 0 0) into 0
8.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
8.104 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
8.104 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
8.104 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
8.104 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
8.104 * [taylor]: Taking taylor expansion of (sin ky) in ky
8.104 * [taylor]: Taking taylor expansion of ky in ky
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of (sin ky) in ky
8.104 * [taylor]: Taking taylor expansion of ky in ky
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 1 into 1
8.105 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
8.105 * [taylor]: Taking taylor expansion of (sin kx) in ky
8.105 * [taylor]: Taking taylor expansion of kx in ky
8.105 * [backup-simplify]: Simplify kx into kx
8.105 * [backup-simplify]: Simplify (sin kx) into (sin kx)
8.105 * [backup-simplify]: Simplify (cos kx) into (cos kx)
8.105 * [taylor]: Taking taylor expansion of (sin kx) in ky
8.105 * [taylor]: Taking taylor expansion of kx in ky
8.105 * [backup-simplify]: Simplify kx into kx
8.105 * [backup-simplify]: Simplify (sin kx) into (sin kx)
8.105 * [backup-simplify]: Simplify (cos kx) into (cos kx)
8.105 * [backup-simplify]: Simplify (* 0 0) into 0
8.105 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
8.105 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
8.105 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
8.105 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
8.105 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
8.105 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
8.105 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
8.105 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
8.105 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
8.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.107 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.107 * [backup-simplify]: Simplify (+ 0) into 0
8.107 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
8.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.108 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
8.108 * [backup-simplify]: Simplify (+ 0 0) into 0
8.108 * [backup-simplify]: Simplify (+ 0) into 0
8.109 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
8.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.109 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
8.110 * [backup-simplify]: Simplify (+ 0 0) into 0
8.110 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
8.110 * [backup-simplify]: Simplify (+ 0 0) into 0
8.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
8.110 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
8.110 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
8.110 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
8.110 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
8.110 * [taylor]: Taking taylor expansion of (sin ky) in ky
8.110 * [taylor]: Taking taylor expansion of ky in ky
8.110 * [backup-simplify]: Simplify 0 into 0
8.110 * [backup-simplify]: Simplify 1 into 1
8.110 * [taylor]: Taking taylor expansion of (sin ky) in ky
8.110 * [taylor]: Taking taylor expansion of ky in ky
8.110 * [backup-simplify]: Simplify 0 into 0
8.110 * [backup-simplify]: Simplify 1 into 1
8.110 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
8.110 * [taylor]: Taking taylor expansion of (sin kx) in ky
8.110 * [taylor]: Taking taylor expansion of kx in ky
8.110 * [backup-simplify]: Simplify kx into kx
8.110 * [backup-simplify]: Simplify (sin kx) into (sin kx)
8.110 * [backup-simplify]: Simplify (cos kx) into (cos kx)
8.110 * [taylor]: Taking taylor expansion of (sin kx) in ky
8.110 * [taylor]: Taking taylor expansion of kx in ky
8.110 * [backup-simplify]: Simplify kx into kx
8.110 * [backup-simplify]: Simplify (sin kx) into (sin kx)
8.110 * [backup-simplify]: Simplify (cos kx) into (cos kx)
8.111 * [backup-simplify]: Simplify (* 0 0) into 0
8.111 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
8.111 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
8.111 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
8.111 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
8.111 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
8.111 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
8.111 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
8.111 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
8.111 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
8.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.113 * [backup-simplify]: Simplify (+ 0) into 0
8.113 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
8.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.114 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
8.114 * [backup-simplify]: Simplify (+ 0 0) into 0
8.114 * [backup-simplify]: Simplify (+ 0) into 0
8.114 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
8.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.115 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
8.115 * [backup-simplify]: Simplify (+ 0 0) into 0
8.115 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
8.116 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
8.116 * [taylor]: Taking taylor expansion of (sin kx) in kx
8.116 * [taylor]: Taking taylor expansion of kx in kx
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [taylor]: Taking taylor expansion of 0 in kx
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.116 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.119 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
8.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.119 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
8.120 * [backup-simplify]: Simplify (+ 0 0) into 0
8.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.121 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
8.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.121 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
8.122 * [backup-simplify]: Simplify (+ 0 0) into 0
8.122 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
8.122 * [backup-simplify]: Simplify (+ 1 0) into 1
8.123 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
8.123 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
8.123 * [taylor]: Taking taylor expansion of 1/2 in kx
8.123 * [backup-simplify]: Simplify 1/2 into 1/2
8.123 * [taylor]: Taking taylor expansion of (sin kx) in kx
8.123 * [taylor]: Taking taylor expansion of kx in kx
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
8.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.126 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.131 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
8.131 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.132 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.134 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.135 * [backup-simplify]: Simplify (+ 0 0) into 0
8.136 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.136 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.139 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.139 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
8.141 * [taylor]: Taking taylor expansion of 0 in kx
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
8.143 * [backup-simplify]: Simplify 1/12 into 1/12
8.143 * [backup-simplify]: Simplify 0 into 0
8.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
8.145 * [backup-simplify]: Simplify -1/6 into -1/6
8.145 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* kx 1) 3)) (+ (* 1/12 (* kx (pow ky 2))) (* 1 (* kx 1)))) into (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
8.145 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
8.145 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
8.146 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
8.146 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
8.146 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
8.146 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
8.146 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
8.146 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
8.146 * [taylor]: Taking taylor expansion of ky in kx
8.146 * [backup-simplify]: Simplify ky into ky
8.146 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
8.146 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.146 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
8.146 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
8.146 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
8.146 * [taylor]: Taking taylor expansion of ky in kx
8.146 * [backup-simplify]: Simplify ky into ky
8.146 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
8.146 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.146 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
8.146 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
8.146 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
8.146 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
8.146 * [taylor]: Taking taylor expansion of kx in kx
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.147 * [backup-simplify]: Simplify (/ 1 1) into 1
8.147 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.147 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
8.147 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
8.147 * [taylor]: Taking taylor expansion of kx in kx
8.147 * [backup-simplify]: Simplify 0 into 0
8.147 * [backup-simplify]: Simplify 1 into 1
8.147 * [backup-simplify]: Simplify (/ 1 1) into 1
8.147 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.147 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
8.148 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
8.148 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
8.148 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
8.148 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
8.148 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
8.148 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
8.148 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
8.148 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
8.149 * [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)))
8.149 * [backup-simplify]: Simplify (+ 0) into 0
8.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
8.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
8.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.151 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
8.151 * [backup-simplify]: Simplify (+ 0 0) into 0
8.151 * [backup-simplify]: Simplify (+ 0) into 0
8.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
8.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
8.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.152 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
8.152 * [backup-simplify]: Simplify (+ 0 0) into 0
8.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
8.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
8.153 * [backup-simplify]: Simplify (+ 0 0) into 0
8.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.153 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
8.153 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
8.153 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
8.153 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
8.153 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
8.153 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
8.153 * [taylor]: Taking taylor expansion of ky in ky
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 1 into 1
8.153 * [backup-simplify]: Simplify (/ 1 1) into 1
8.154 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.154 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
8.154 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
8.154 * [taylor]: Taking taylor expansion of ky in ky
8.154 * [backup-simplify]: Simplify 0 into 0
8.154 * [backup-simplify]: Simplify 1 into 1
8.154 * [backup-simplify]: Simplify (/ 1 1) into 1
8.154 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.154 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
8.154 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
8.154 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
8.154 * [taylor]: Taking taylor expansion of kx in ky
8.154 * [backup-simplify]: Simplify kx into kx
8.154 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
8.154 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.154 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
8.154 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
8.154 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
8.154 * [taylor]: Taking taylor expansion of kx in ky
8.154 * [backup-simplify]: Simplify kx into kx
8.154 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
8.154 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.154 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
8.154 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
8.154 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
8.154 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
8.154 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
8.155 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
8.155 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
8.155 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
8.155 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
8.155 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
8.155 * [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)))
8.155 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
8.155 * [backup-simplify]: Simplify (+ 0) into 0
8.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
8.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
8.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
8.157 * [backup-simplify]: Simplify (+ 0 0) into 0
8.157 * [backup-simplify]: Simplify (+ 0) into 0
8.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
8.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
8.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
8.158 * [backup-simplify]: Simplify (+ 0 0) into 0
8.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
8.159 * [backup-simplify]: Simplify (+ 0 0) into 0
8.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.159 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
8.159 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
8.159 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
8.159 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
8.159 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
8.159 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
8.159 * [taylor]: Taking taylor expansion of ky in ky
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.159 * [backup-simplify]: Simplify (/ 1 1) into 1
8.159 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.159 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
8.159 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
8.159 * [taylor]: Taking taylor expansion of ky in ky
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.160 * [backup-simplify]: Simplify (/ 1 1) into 1
8.160 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.160 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
8.160 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
8.160 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
8.160 * [taylor]: Taking taylor expansion of kx in ky
8.160 * [backup-simplify]: Simplify kx into kx
8.160 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
8.160 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.160 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
8.160 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
8.160 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
8.160 * [taylor]: Taking taylor expansion of kx in ky
8.160 * [backup-simplify]: Simplify kx into kx
8.160 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
8.160 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.160 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
8.160 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
8.160 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
8.160 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
8.160 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
8.160 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
8.160 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
8.160 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
8.160 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
8.161 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
8.161 * [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)))
8.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
8.161 * [backup-simplify]: Simplify (+ 0) into 0
8.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
8.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
8.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
8.162 * [backup-simplify]: Simplify (+ 0 0) into 0
8.163 * [backup-simplify]: Simplify (+ 0) into 0
8.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
8.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
8.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
8.164 * [backup-simplify]: Simplify (+ 0 0) into 0
8.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
8.164 * [backup-simplify]: Simplify (+ 0 0) into 0
8.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
8.165 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
8.165 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
8.165 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
8.165 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
8.165 * [taylor]: Taking taylor expansion of kx in kx
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * [backup-simplify]: Simplify (/ 1 1) into 1
8.165 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
8.165 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
8.165 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
8.165 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
8.165 * [taylor]: Taking taylor expansion of ky in kx
8.165 * [backup-simplify]: Simplify ky into ky
8.165 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
8.165 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
8.165 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
8.165 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
8.165 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
8.165 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
8.166 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
8.166 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
8.166 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
8.166 * [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)))
8.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
8.166 * [backup-simplify]: Simplify (+ 0) into 0
8.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
8.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
8.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
8.168 * [backup-simplify]: Simplify (+ 0 0) into 0
8.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
8.168 * [backup-simplify]: Simplify (+ 0 0) into 0
8.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.169 * [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)))
8.169 * [taylor]: Taking taylor expansion of 0 in kx
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
8.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
8.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
8.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
8.173 * [backup-simplify]: Simplify (+ 0 0) into 0
8.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
8.174 * [backup-simplify]: Simplify (+ 0 0) into 0
8.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.174 * [taylor]: Taking taylor expansion of 0 in kx
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
8.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.176 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
8.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
8.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
8.177 * [backup-simplify]: Simplify (+ 0 0) into 0
8.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
8.177 * [backup-simplify]: Simplify (+ 0 0) into 0
8.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.178 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
8.180 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.182 * [backup-simplify]: Simplify (+ 0 0) into 0
8.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.185 * [backup-simplify]: Simplify (+ 0 0) into 0
8.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
8.186 * [backup-simplify]: Simplify (+ 0 0) into 0
8.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
8.186 * [taylor]: Taking taylor expansion of 0 in kx
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 0 into 0
8.187 * [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)))
8.187 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
8.187 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
8.187 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
8.187 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
8.187 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
8.187 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
8.187 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.187 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.187 * [taylor]: Taking taylor expansion of -1 in kx
8.187 * [backup-simplify]: Simplify -1 into -1
8.187 * [taylor]: Taking taylor expansion of ky in kx
8.187 * [backup-simplify]: Simplify ky into ky
8.187 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.187 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.187 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.187 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.187 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.187 * [taylor]: Taking taylor expansion of -1 in kx
8.187 * [backup-simplify]: Simplify -1 into -1
8.187 * [taylor]: Taking taylor expansion of ky in kx
8.187 * [backup-simplify]: Simplify ky into ky
8.187 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.187 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.187 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.187 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
8.187 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
8.187 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
8.187 * [taylor]: Taking taylor expansion of -1 in kx
8.187 * [backup-simplify]: Simplify -1 into -1
8.187 * [taylor]: Taking taylor expansion of kx in kx
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 1 into 1
8.188 * [backup-simplify]: Simplify (/ -1 1) into -1
8.188 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.188 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
8.188 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
8.188 * [taylor]: Taking taylor expansion of -1 in kx
8.188 * [backup-simplify]: Simplify -1 into -1
8.188 * [taylor]: Taking taylor expansion of kx in kx
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 1 into 1
8.188 * [backup-simplify]: Simplify (/ -1 1) into -1
8.188 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.188 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.189 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.189 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.189 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.189 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.189 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.189 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.189 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.189 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.189 * [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)))
8.189 * [backup-simplify]: Simplify (+ 0) into 0
8.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.190 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.191 * [backup-simplify]: Simplify (+ 0 0) into 0
8.191 * [backup-simplify]: Simplify (+ 0) into 0
8.192 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.192 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.193 * [backup-simplify]: Simplify (+ 0 0) into 0
8.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.193 * [backup-simplify]: Simplify (+ 0 0) into 0
8.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.193 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
8.193 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
8.193 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
8.193 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
8.193 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.193 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.193 * [taylor]: Taking taylor expansion of -1 in ky
8.193 * [backup-simplify]: Simplify -1 into -1
8.193 * [taylor]: Taking taylor expansion of ky in ky
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 1 into 1
8.194 * [backup-simplify]: Simplify (/ -1 1) into -1
8.194 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.194 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.194 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.194 * [taylor]: Taking taylor expansion of -1 in ky
8.194 * [backup-simplify]: Simplify -1 into -1
8.194 * [taylor]: Taking taylor expansion of ky in ky
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.194 * [backup-simplify]: Simplify (/ -1 1) into -1
8.194 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.194 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
8.194 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.194 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.194 * [taylor]: Taking taylor expansion of -1 in ky
8.194 * [backup-simplify]: Simplify -1 into -1
8.194 * [taylor]: Taking taylor expansion of kx in ky
8.194 * [backup-simplify]: Simplify kx into kx
8.194 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.194 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.194 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.194 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.194 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.195 * [taylor]: Taking taylor expansion of -1 in ky
8.195 * [backup-simplify]: Simplify -1 into -1
8.195 * [taylor]: Taking taylor expansion of kx in ky
8.195 * [backup-simplify]: Simplify kx into kx
8.195 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.195 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.195 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.195 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.195 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.195 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.195 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.195 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.195 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.195 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.195 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.195 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.195 * [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)))
8.195 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.196 * [backup-simplify]: Simplify (+ 0) into 0
8.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.196 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.197 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.197 * [backup-simplify]: Simplify (+ 0 0) into 0
8.197 * [backup-simplify]: Simplify (+ 0) into 0
8.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.198 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.199 * [backup-simplify]: Simplify (+ 0 0) into 0
8.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.199 * [backup-simplify]: Simplify (+ 0 0) into 0
8.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.199 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
8.200 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
8.200 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
8.200 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
8.200 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.200 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.200 * [taylor]: Taking taylor expansion of -1 in ky
8.200 * [backup-simplify]: Simplify -1 into -1
8.200 * [taylor]: Taking taylor expansion of ky in ky
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 1 into 1
8.200 * [backup-simplify]: Simplify (/ -1 1) into -1
8.200 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.200 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
8.200 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
8.200 * [taylor]: Taking taylor expansion of -1 in ky
8.200 * [backup-simplify]: Simplify -1 into -1
8.200 * [taylor]: Taking taylor expansion of ky in ky
8.200 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 1 into 1
8.201 * [backup-simplify]: Simplify (/ -1 1) into -1
8.201 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.201 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
8.201 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.201 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.201 * [taylor]: Taking taylor expansion of -1 in ky
8.201 * [backup-simplify]: Simplify -1 into -1
8.201 * [taylor]: Taking taylor expansion of kx in ky
8.201 * [backup-simplify]: Simplify kx into kx
8.201 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.201 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.201 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.201 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
8.201 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
8.201 * [taylor]: Taking taylor expansion of -1 in ky
8.201 * [backup-simplify]: Simplify -1 into -1
8.202 * [taylor]: Taking taylor expansion of kx in ky
8.202 * [backup-simplify]: Simplify kx into kx
8.202 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
8.202 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.202 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
8.202 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.202 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.202 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.202 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.202 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
8.202 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
8.202 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
8.203 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.203 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.203 * [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)))
8.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.204 * [backup-simplify]: Simplify (+ 0) into 0
8.204 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.204 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.205 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.206 * [backup-simplify]: Simplify (+ 0 0) into 0
8.206 * [backup-simplify]: Simplify (+ 0) into 0
8.207 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
8.207 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
8.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
8.208 * [backup-simplify]: Simplify (+ 0 0) into 0
8.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.209 * [backup-simplify]: Simplify (+ 0 0) into 0
8.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
8.209 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
8.209 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
8.209 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
8.209 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
8.209 * [taylor]: Taking taylor expansion of -1 in kx
8.210 * [backup-simplify]: Simplify -1 into -1
8.210 * [taylor]: Taking taylor expansion of kx in kx
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify 1 into 1
8.210 * [backup-simplify]: Simplify (/ -1 1) into -1
8.210 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
8.210 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
8.210 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
8.210 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
8.210 * [taylor]: Taking taylor expansion of -1 in kx
8.210 * [backup-simplify]: Simplify -1 into -1
8.210 * [taylor]: Taking taylor expansion of ky in kx
8.210 * [backup-simplify]: Simplify ky into ky
8.210 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
8.210 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
8.210 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
8.211 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
8.211 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
8.211 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
8.211 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
8.211 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
8.211 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
8.211 * [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)))
8.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
8.212 * [backup-simplify]: Simplify (+ 0) into 0
8.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
8.213 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
8.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
8.214 * [backup-simplify]: Simplify (+ 0 0) into 0
8.214 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
8.215 * [backup-simplify]: Simplify (+ 0 0) into 0
8.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.215 * [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)))
8.215 * [taylor]: Taking taylor expansion of 0 in kx
8.215 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
8.217 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.218 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
8.218 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.219 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
8.220 * [backup-simplify]: Simplify (+ 0 0) into 0
8.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
8.221 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
8.223 * [backup-simplify]: Simplify (+ 0 0) into 0
8.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
8.224 * [backup-simplify]: Simplify (+ 0 0) into 0
8.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.225 * [taylor]: Taking taylor expansion of 0 in kx
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 0 into 0
8.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
8.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
8.227 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
8.228 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
8.229 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
8.230 * [backup-simplify]: Simplify (+ 0 0) into 0
8.231 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.231 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
8.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.234 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.236 * [backup-simplify]: Simplify (+ 0 0) into 0
8.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.238 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.238 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.241 * [backup-simplify]: Simplify (+ 0 0) into 0
8.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
8.242 * [backup-simplify]: Simplify (+ 0 0) into 0
8.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.243 * [taylor]: Taking taylor expansion of 0 in kx
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 0 into 0
8.244 * [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)))
8.244 * * * [progress]: simplifying candidates
8.244 * * * * [progress]: [ 1 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.244 * * * * [progress]: [ 2 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.244 * * * * [progress]: [ 3 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) -1)))>
8.244 * * * * [progress]: [ 4 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) (- 1))))>
8.244 * * * * [progress]: [ 5 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) 1)))>
8.244 * * * * [progress]: [ 6 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.244 * * * * [progress]: [ 7 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.244 * * * * [progress]: [ 8 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.244 * * * * [progress]: [ 9 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.244 * * * * [progress]: [ 10 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.244 * * * * [progress]: [ 11 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 12 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 13 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 14 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))))>
8.245 * * * * [progress]: [ 15 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 16 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 17 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 18 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 19 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- 1) (- (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.245 * * * * [progress]: [ 20 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 21 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.245 * * * * [progress]: [ 22 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.245 * * * * [progress]: [ 23 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.245 * * * * [progress]: [ 24 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.245 * * * * [progress]: [ 25 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.246 * * * * [progress]: [ 26 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.246 * * * * [progress]: [ 27 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.246 * * * * [progress]: [ 28 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
8.246 * * * * [progress]: [ 29 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky)))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
8.246 * * * * [progress]: [ 30 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.246 * * * * [progress]: [ 31 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.246 * * * * [progress]: [ 32 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx))) (/ (cbrt 1) (/ 1 (sin ky))))))>
8.246 * * * * [progress]: [ 33 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.246 * * * * [progress]: [ 34 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.246 * * * * [progress]: [ 35 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.246 * * * * [progress]: [ 36 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.246 * * * * [progress]: [ 37 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.246 * * * * [progress]: [ 38 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.246 * * * * [progress]: [ 39 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.247 * * * * [progress]: [ 40 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.247 * * * * [progress]: [ 41 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
8.247 * * * * [progress]: [ 42 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ 1 (sqrt (sin ky)))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
8.247 * * * * [progress]: [ 43 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.247 * * * * [progress]: [ 44 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.247 * * * * [progress]: [ 45 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (hypot (sin ky) (sin kx))) (/ (sqrt 1) (/ 1 (sin ky))))))>
8.247 * * * * [progress]: [ 46 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ 1 (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.247 * * * * [progress]: [ 47 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.247 * * * * [progress]: [ 48 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.247 * * * * [progress]: [ 49 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.247 * * * * [progress]: [ 50 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.247 * * * * [progress]: [ 51 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.247 * * * * [progress]: [ 52 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.247 * * * * [progress]: [ 53 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.248 * * * * [progress]: [ 54 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
8.248 * * * * [progress]: [ 55 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 (sqrt (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
8.248 * * * * [progress]: [ 56 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 1)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.248 * * * * [progress]: [ 57 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.248 * * * * [progress]: [ 58 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin ky) (sin kx))) (/ 1 (/ 1 (sin ky))))))>
8.248 * * * * [progress]: [ 59 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.248 * * * * [progress]: [ 60 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.248 * * * * [progress]: [ 61 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
8.248 * * * * [progress]: [ 62 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.248 * * * * [progress]: [ 63 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.248 * * * * [progress]: [ 64 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.248 * * * * [progress]: [ 65 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.248 * * * * [progress]: [ 66 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.248 * * * * [progress]: [ 67 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.248 * * * * [progress]: [ 68 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.249 * * * * [progress]: [ 69 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.249 * * * * [progress]: [ 70 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
8.249 * * * * [progress]: [ 71 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 (sqrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
8.249 * * * * [progress]: [ 72 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 1)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.249 * * * * [progress]: [ 73 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.249 * * * * [progress]: [ 74 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (hypot (sin ky) (sin kx))) (/ 1 (sin ky)))))>
8.249 * * * * [progress]: [ 75 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt 1)))))>
8.249 * * * * [progress]: [ 76 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt 1) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt 1)))))>
8.249 * * * * [progress]: [ 77 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
8.249 * * * * [progress]: [ 78 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin ky) (sin kx))) (sin ky))))>
8.249 * * * * [progress]: [ 79 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.249 * * * * [progress]: [ 80 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.249 * * * * [progress]: [ 81 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.249 * * * * [progress]: [ 82 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) 1))>
8.249 * * * * [progress]: [ 83 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) 1))>
8.250 * * * * [progress]: [ 84 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.250 * * * * [progress]: [ 85 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 86 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.250 * * * * [progress]: [ 87 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 88 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.250 * * * * [progress]: [ 89 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 90 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 91 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 92 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 93 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))))>
8.250 * * * * [progress]: [ 94 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 95 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 96 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 97 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.250 * * * * [progress]: [ 98 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.251 * * * * [progress]: [ 99 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.251 * * * * [progress]: [ 100 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
8.251 * * * * [progress]: [ 101 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.251 * * * * [progress]: [ 102 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.251 * * * * [progress]: [ 103 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.251 * * * * [progress]: [ 104 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.251 * * * * [progress]: [ 105 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.251 * * * * [progress]: [ 106 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.251 * * * * [progress]: [ 107 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.251 * * * * [progress]: [ 108 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (/ (cbrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.251 * * * * [progress]: [ 109 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.251 * * * * [progress]: [ 110 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.251 * * * * [progress]: [ 111 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.251 * * * * [progress]: [ 112 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.252 * * * * [progress]: [ 113 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.252 * * * * [progress]: [ 114 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.252 * * * * [progress]: [ 115 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.252 * * * * [progress]: [ 116 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
8.252 * * * * [progress]: [ 117 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky))))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
8.252 * * * * [progress]: [ 118 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.252 * * * * [progress]: [ 119 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.252 * * * * [progress]: [ 120 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx)))) (/ (cbrt 1) (/ 1 (sin ky)))))>
8.252 * * * * [progress]: [ 121 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (/ (sqrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.252 * * * * [progress]: [ 122 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.252 * * * * [progress]: [ 123 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.252 * * * * [progress]: [ 124 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.252 * * * * [progress]: [ 125 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.252 * * * * [progress]: [ 126 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.253 * * * * [progress]: [ 127 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.253 * * * * [progress]: [ 128 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.253 * * * * [progress]: [ 129 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
8.253 * * * * [progress]: [ 130 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ 1 (sqrt (sin ky))))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
8.253 * * * * [progress]: [ 131 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ 1 1))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.253 * * * * [progress]: [ 132 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.253 * * * * [progress]: [ 133 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (hypot (sin ky) (sin kx)))) (/ (sqrt 1) (/ 1 (sin ky)))))>
8.253 * * * * [progress]: [ 134 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (/ 1 (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.253 * * * * [progress]: [ 135 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.253 * * * * [progress]: [ 136 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.253 * * * * [progress]: [ 137 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.253 * * * * [progress]: [ 138 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.253 * * * * [progress]: [ 139 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
8.253 * * * * [progress]: [ 140 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
8.254 * * * * [progress]: [ 141 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
8.254 * * * * [progress]: [ 142 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
8.254 * * * * [progress]: [ 143 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 (sqrt (sin ky))))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
8.254 * * * * [progress]: [ 144 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 1))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.254 * * * * [progress]: [ 145 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.254 * * * * [progress]: [ 146 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin ky) (sin kx)))) (/ 1 (/ 1 (sin ky)))))>
8.254 * * * * [progress]: [ 147 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.254 * * * * [progress]: [ 148 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
8.254 * * * * [progress]: [ 149 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin ky) (sin kx)))) (sin ky)))>
8.254 * * * * [progress]: [ 150 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.254 * * * * [progress]: [ 151 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.254 * * * * [progress]: [ 152 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.254 * * * * [progress]: [ 153 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
8.254 * * * * [progress]: [ 154 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.254 * * * * [progress]: [ 155 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (sin th)))>
8.254 * * * * [progress]: [ 156 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (log1p (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 157 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 158 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
8.255 * * * * [progress]: [ 159 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (exp (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
8.255 * * * * [progress]: [ 160 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (exp (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 161 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (log (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 162 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (cbrt (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))))>
8.255 * * * * [progress]: [ 163 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 164 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (cbrt (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 165 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.255 * * * * [progress]: [ 166 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (- (hypot (sin ky) (sin kx))) (- (sin ky))))))>
8.255 * * * * [progress]: [ 167 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.255 * * * * [progress]: [ 168 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.255 * * * * [progress]: [ 169 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.255 * * * * [progress]: [ 170 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
8.255 * * * * [progress]: [ 171 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
8.256 * * * * [progress]: [ 172 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin ky) (sin kx))) 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
8.256 * * * * [progress]: [ 173 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
8.256 * * * * [progress]: [ 174 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
8.256 * * * * [progress]: [ 175 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.256 * * * * [progress]: [ 176 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
8.257 * * * * [progress]: [ 177 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (hypot (sin ky) (sin kx)) (/ 1 (sin ky))))))>
8.257 * * * * [progress]: [ 178 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
8.257 * * * * [progress]: [ 179 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))))))>
8.257 * * * * [progress]: [ 180 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) (sqrt (sin ky))))))>
8.257 * * * * [progress]: [ 181 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) 1) (sin ky)))))>
8.257 * * * * [progress]: [ 182 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))))>
8.257 * * * * [progress]: [ 183 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))))>
8.257 * * * * [progress]: [ 184 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
8.257 * * * * [progress]: [ 185 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
8.257 * * * * [progress]: [ 186 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (log1p (expm1 (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.257 * * * * [progress]: [ 187 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (expm1 (log1p (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.257 * * * * [progress]: [ 188 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))))>
8.257 * * * * [progress]: [ 189 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (pow (hypot (sin ky) (sin kx)) 1) (sin ky)))))>
8.257 * * * * [progress]: [ 190 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (exp (log (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.258 * * * * [progress]: [ 191 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (log (exp (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.258 * * * * [progress]: [ 192 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.258 * * * * [progress]: [ 193 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.258 * * * * [progress]: [ 194 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.258 * * * * [progress]: [ 195 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky)))))>
8.258 * * * * [progress]: [ 196 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))>
8.258 * * * * [progress]: [ 197 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))))>
8.258 * * * * [progress]: [ 198 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
8.258 * * * * [progress]: [ 199 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
8.258 * * * * [progress]: [ 200 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
8.258 * * * * [progress]: [ 201 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
8.258 * * * * [progress]: [ 202 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
8.258 * * * * [progress]: [ 203 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky))))))>
8.258 * * * * [progress]: [ 204 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))>
8.258 * * * * [progress]: [ 205 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))>
8.259 * * * * [progress]: [ 206 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))) (sin ky)))))>
8.259 * * * * [progress]: [ 207 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)))))>
8.259 * * * * [progress]: [ 208 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)))))>
8.263 * [simplify]: Simplifying:
  (expm1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log1p (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- 1)
  (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (exp (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))
  (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- 1)
  (- (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (cbrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (cbrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky))))
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx)))
  (/ (cbrt 1) (/ 1 (sin ky)))
  (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sqrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (sqrt 1) (/ 1 (sqrt (sin ky))))
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt 1) (hypot (sin ky) (sin kx)))
  (/ (sqrt 1) (/ 1 (sin ky)))
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ 1 (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 1)
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ 1 (/ 1 (sin ky)))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1)
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ 1 1)
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt 1))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt 1))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1)
  (/ 1 (hypot (sin ky) (sin kx)))
  (real->posit16 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (expm1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (log1p (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (+ (log (sin th)) (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))
  (+ (log (sin th)) (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (+ (log (sin th)) (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))
  (+ (log (sin th)) (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (+ (log (sin th)) (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))
  (+ (log (sin th)) (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (+ (log (sin th)) (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (log (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (exp (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (* (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) 1))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx))))
  (* (sin th) (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)))
  (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1)))
  (* (sin th) (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (sqrt 1) (/ 1 (sqrt (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ 1 1)))
  (* (sin th) (/ (sqrt 1) 1))
  (* (sin th) (/ (sqrt 1) (hypot (sin ky) (sin kx))))
  (* (sin th) (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))))
  (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)))
  (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)))
  (* (sin th) (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ 1 (/ 1 (sqrt (sin ky)))))
  (* (sin th) (/ 1 (/ 1 1)))
  (* (sin th) (/ 1 1))
  (* (sin th) (/ 1 (hypot (sin ky) (sin kx))))
  (* (sin th) 1)
  (* (sin th) 1)
  (* (sin th) (/ 1 (hypot (sin ky) (sin kx))))
  (* (cbrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (sqrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (sin th) 1)
  (real->posit16 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))
  (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (hypot (sin ky) (sin kx)))
  (- (sin ky))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)
  (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) 1)
  (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ 1 1)
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) 1)
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
8.269 * * [simplify]: iteration 0: 280 enodes
8.394 * * [simplify]: iteration 1: 737 enodes
8.724 * * [simplify]: iteration 2: 2173 enodes
10.025 * * [simplify]: iteration complete: 5000 enodes
10.026 * * [simplify]: Extracting #0: cost 107 inf + 0
10.027 * * [simplify]: Extracting #1: cost 642 inf + 2
10.032 * * [simplify]: Extracting #2: cost 957 inf + 4080
10.054 * * [simplify]: Extracting #3: cost 658 inf + 82191
10.111 * * [simplify]: Extracting #4: cost 156 inf + 246781
10.205 * * [simplify]: Extracting #5: cost 10 inf + 299089
10.279 * * [simplify]: Extracting #6: cost 0 inf + 302281
10.348 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  -1
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  -1
  (- (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (sin ky)
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (sin ky)
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (sin ky)
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (sqrt (sin ky))
  1
  1
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ 1 (hypot (sin kx) (sin ky)))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log1p (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (exp (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))))
  (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (sqrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (sqrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (* (sin th) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sin 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 (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))
  (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin th) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sin ky))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sin th)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sin 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 (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))
  (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin th) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sin ky))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sin th)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sin 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 (hypot (sin kx) (sin ky))))) (sqrt (sin ky)))
  (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin th) (/ (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sin ky))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sin th)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (sqrt (sin th)) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
  (sin th)
  (real->posit16 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log1p (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (exp (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (* (/ (hypot (sin kx) (sin ky)) (sin ky)) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (* (/ (hypot (sin kx) (sin ky)) (sin ky)) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (- (hypot (sin kx) (sin ky)))
  (- (sin ky))
  (* (/ (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)))
  (/ (cbrt (hypot (sin kx) (sin ky))) (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))
  (/ (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))
  (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  1
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (hypot (sin kx) (sin ky))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (real->posit16 (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (fma (sin ky) (sin ky) (* (sin kx) (sin kx)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (real->posit16 (hypot (sin kx) (sin ky)))
  (fma (* kx (* ky (* ky ky))) -71/720 (* ky (* kx (+ 1/6 (* (* 7/360 kx) kx)))))
  (* (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))) (sin ky))
  (* (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))) (sin ky))
  (* (* ky th) (* kx 1/6))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))))
  (fma (/ (* kx kx) (/ ky kx)) -1/6 (fma (* kx ky) 1/4 (/ kx ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (fma -1/6 (* (* kx kx) kx) (fma (* 1/12 kx) (* ky ky) kx))
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
10.369 * * * [progress]: adding candidates to table
11.583 * * [progress]: iteration 3 / 4
11.583 * * * [progress]: picking best candidate
11.685 * * * * [pick]: Picked  #<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
11.685 * * * [progress]: localizing error
11.710 * * * [progress]: generating rewritten candidates
11.710 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
11.722 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
11.727 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
11.729 * * * [progress]: generating series expansions
11.729 * * * * [progress]: [ 1 / 3 ] generating series at (2)
11.729 * [backup-simplify]: Simplify (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) into (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx)))
11.729 * [approximate]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
11.729 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in kx
11.729 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in kx
11.729 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.729 * [taylor]: Taking taylor expansion of ky in kx
11.729 * [backup-simplify]: Simplify ky into ky
11.729 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.729 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.729 * [taylor]: Taking taylor expansion of (sin th) in kx
11.729 * [taylor]: Taking taylor expansion of th in kx
11.729 * [backup-simplify]: Simplify th into th
11.729 * [backup-simplify]: Simplify (sin th) into (sin th)
11.729 * [backup-simplify]: Simplify (cos th) into (cos th)
11.729 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.729 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.729 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.729 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.729 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.729 * [taylor]: Taking taylor expansion of ky in kx
11.729 * [backup-simplify]: Simplify ky into ky
11.729 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.729 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.729 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.729 * [taylor]: Taking taylor expansion of ky in kx
11.729 * [backup-simplify]: Simplify ky into ky
11.729 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.729 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.730 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.730 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.730 * [taylor]: Taking taylor expansion of kx in kx
11.730 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify 1 into 1
11.730 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.730 * [taylor]: Taking taylor expansion of kx in kx
11.730 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify 1 into 1
11.730 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.730 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.730 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.730 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.730 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.730 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.730 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.730 * [backup-simplify]: Simplify (* 0 0) into 0
11.731 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.731 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.731 * [backup-simplify]: Simplify (+ 0) into 0
11.731 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.732 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.732 * [backup-simplify]: Simplify (+ 0 0) into 0
11.732 * [backup-simplify]: Simplify (+ 0) into 0
11.733 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.733 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.734 * [backup-simplify]: Simplify (+ 0 0) into 0
11.734 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.735 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.736 * [backup-simplify]: Simplify (+ 0 0) into 0
11.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.736 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.736 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.736 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.736 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.736 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.736 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.736 * [backup-simplify]: Simplify (* (sin ky) (sin th)) into (* (sin th) (sin ky))
11.736 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
11.736 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in ky
11.736 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in ky
11.736 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.736 * [taylor]: Taking taylor expansion of ky in ky
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.736 * [taylor]: Taking taylor expansion of (sin th) in ky
11.737 * [taylor]: Taking taylor expansion of th in ky
11.737 * [backup-simplify]: Simplify th into th
11.737 * [backup-simplify]: Simplify (sin th) into (sin th)
11.737 * [backup-simplify]: Simplify (cos th) into (cos th)
11.737 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.737 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.737 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.737 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.737 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.737 * [taylor]: Taking taylor expansion of ky in ky
11.737 * [backup-simplify]: Simplify 0 into 0
11.737 * [backup-simplify]: Simplify 1 into 1
11.737 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.737 * [taylor]: Taking taylor expansion of ky in ky
11.737 * [backup-simplify]: Simplify 0 into 0
11.737 * [backup-simplify]: Simplify 1 into 1
11.737 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.737 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.737 * [taylor]: Taking taylor expansion of kx in ky
11.737 * [backup-simplify]: Simplify kx into kx
11.737 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.737 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.737 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.737 * [taylor]: Taking taylor expansion of kx in ky
11.737 * [backup-simplify]: Simplify kx into kx
11.737 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.737 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.738 * [backup-simplify]: Simplify (* 0 0) into 0
11.738 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.738 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.738 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.738 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.738 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.738 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.738 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.738 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.738 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.741 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.741 * [backup-simplify]: Simplify (+ 0) into 0
11.741 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.743 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.743 * [backup-simplify]: Simplify (+ 0 0) into 0
11.743 * [backup-simplify]: Simplify (+ 0) into 0
11.744 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.745 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.745 * [backup-simplify]: Simplify (+ 0 0) into 0
11.745 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.746 * [backup-simplify]: Simplify (+ 0 0) into 0
11.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.746 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.746 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.746 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.746 * [backup-simplify]: Simplify (* 0 (sin th)) into 0
11.747 * [backup-simplify]: Simplify (+ 0) into 0
11.747 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.748 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
11.749 * [backup-simplify]: Simplify (+ 0 0) into 0
11.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.750 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin th))) into (sin th)
11.750 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
11.750 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in th
11.750 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in th
11.750 * [taylor]: Taking taylor expansion of (sin ky) in th
11.750 * [taylor]: Taking taylor expansion of ky in th
11.750 * [backup-simplify]: Simplify ky into ky
11.750 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.750 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.750 * [taylor]: Taking taylor expansion of (sin th) in th
11.750 * [taylor]: Taking taylor expansion of th in th
11.750 * [backup-simplify]: Simplify 0 into 0
11.750 * [backup-simplify]: Simplify 1 into 1
11.750 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
11.750 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.750 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
11.750 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
11.750 * [taylor]: Taking taylor expansion of (sin ky) in th
11.750 * [taylor]: Taking taylor expansion of ky in th
11.750 * [backup-simplify]: Simplify ky into ky
11.750 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.750 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.750 * [taylor]: Taking taylor expansion of (sin ky) in th
11.750 * [taylor]: Taking taylor expansion of ky in th
11.750 * [backup-simplify]: Simplify ky into ky
11.750 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.751 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.751 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
11.751 * [taylor]: Taking taylor expansion of (sin kx) in th
11.751 * [taylor]: Taking taylor expansion of kx in th
11.751 * [backup-simplify]: Simplify kx into kx
11.751 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.751 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.751 * [taylor]: Taking taylor expansion of (sin kx) in th
11.751 * [taylor]: Taking taylor expansion of kx in th
11.751 * [backup-simplify]: Simplify kx into kx
11.751 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.751 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.751 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.751 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.751 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.751 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.751 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.751 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.751 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.751 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.752 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.752 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.752 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.752 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.752 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.752 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.752 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
11.752 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.753 * [backup-simplify]: Simplify (+ 0) into 0
11.753 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.754 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.755 * [backup-simplify]: Simplify (+ 0 0) into 0
11.755 * [backup-simplify]: Simplify (+ 0) into 0
11.756 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.756 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.757 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.757 * [backup-simplify]: Simplify (+ 0 0) into 0
11.757 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.758 * [backup-simplify]: Simplify (+ 0) into 0
11.758 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.759 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.760 * [backup-simplify]: Simplify (+ 0 0) into 0
11.760 * [backup-simplify]: Simplify (+ 0) into 0
11.761 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.762 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.762 * [backup-simplify]: Simplify (+ 0 0) into 0
11.762 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.763 * [backup-simplify]: Simplify (+ 0 0) into 0
11.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.763 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.763 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.763 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.763 * [backup-simplify]: Simplify (* (sin ky) 0) into 0
11.764 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.765 * [backup-simplify]: Simplify (+ 0) into 0
11.765 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.766 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.767 * [backup-simplify]: Simplify (+ 0 0) into 0
11.767 * [backup-simplify]: Simplify (+ (* (sin ky) 1) (* 0 0)) into (sin ky)
11.767 * [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))
11.767 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in th
11.767 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in th
11.767 * [taylor]: Taking taylor expansion of (sin ky) in th
11.767 * [taylor]: Taking taylor expansion of ky in th
11.767 * [backup-simplify]: Simplify ky into ky
11.767 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.768 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.768 * [taylor]: Taking taylor expansion of (sin th) in th
11.768 * [taylor]: Taking taylor expansion of th in th
11.768 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify 1 into 1
11.768 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
11.768 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.768 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
11.768 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
11.768 * [taylor]: Taking taylor expansion of (sin ky) in th
11.768 * [taylor]: Taking taylor expansion of ky in th
11.768 * [backup-simplify]: Simplify ky into ky
11.768 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.768 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.768 * [taylor]: Taking taylor expansion of (sin ky) in th
11.768 * [taylor]: Taking taylor expansion of ky in th
11.768 * [backup-simplify]: Simplify ky into ky
11.768 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.768 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.768 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
11.768 * [taylor]: Taking taylor expansion of (sin kx) in th
11.768 * [taylor]: Taking taylor expansion of kx in th
11.768 * [backup-simplify]: Simplify kx into kx
11.768 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.768 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.768 * [taylor]: Taking taylor expansion of (sin kx) in th
11.768 * [taylor]: Taking taylor expansion of kx in th
11.768 * [backup-simplify]: Simplify kx into kx
11.768 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.769 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.769 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.769 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.769 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.769 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.769 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.769 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.769 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.769 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.769 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.769 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.769 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.769 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.769 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.770 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.770 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
11.770 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.770 * [backup-simplify]: Simplify (+ 0) into 0
11.771 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.772 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.772 * [backup-simplify]: Simplify (+ 0 0) into 0
11.773 * [backup-simplify]: Simplify (+ 0) into 0
11.773 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.774 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.775 * [backup-simplify]: Simplify (+ 0 0) into 0
11.775 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.775 * [backup-simplify]: Simplify (+ 0) into 0
11.776 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.777 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.777 * [backup-simplify]: Simplify (+ 0 0) into 0
11.778 * [backup-simplify]: Simplify (+ 0) into 0
11.778 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.780 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.780 * [backup-simplify]: Simplify (+ 0 0) into 0
11.780 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.781 * [backup-simplify]: Simplify (+ 0 0) into 0
11.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.781 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.781 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.781 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.781 * [backup-simplify]: Simplify (* (sin ky) 0) into 0
11.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.782 * [backup-simplify]: Simplify (+ 0) into 0
11.783 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.783 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.784 * [backup-simplify]: Simplify (+ 0 0) into 0
11.784 * [backup-simplify]: Simplify (+ (* (sin ky) 1) (* 0 0)) into (sin ky)
11.784 * [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))
11.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
11.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
11.784 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
11.784 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
11.784 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
11.784 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.784 * [taylor]: Taking taylor expansion of ky in ky
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.785 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
11.785 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.785 * [taylor]: Taking taylor expansion of kx in ky
11.785 * [backup-simplify]: Simplify kx into kx
11.785 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.785 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.785 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.785 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.785 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.785 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.785 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.785 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
11.785 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
11.785 * [backup-simplify]: Simplify (+ 0) into 0
11.786 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.786 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.787 * [backup-simplify]: Simplify (+ 0 0) into 0
11.787 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.787 * [backup-simplify]: Simplify (+ 0 0) into 0
11.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
11.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
11.787 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.787 * [taylor]: Taking taylor expansion of ky in ky
11.787 * [backup-simplify]: Simplify 0 into 0
11.787 * [backup-simplify]: Simplify 1 into 1
11.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.788 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
11.788 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.788 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.788 * [taylor]: Taking taylor expansion of kx in kx
11.788 * [backup-simplify]: Simplify 0 into 0
11.788 * [backup-simplify]: Simplify 1 into 1
11.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.789 * [backup-simplify]: Simplify (/ 1 1) into 1
11.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.790 * [backup-simplify]: Simplify 0 into 0
11.790 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.791 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.792 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.792 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.792 * [backup-simplify]: Simplify (+ 0 0) into 0
11.793 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 1) (* 0 0))) into 0
11.793 * [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
11.793 * [taylor]: Taking taylor expansion of 0 in ky
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [taylor]: Taking taylor expansion of 0 in kx
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.794 * [backup-simplify]: Simplify (* 1 1) into 1
11.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.795 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.795 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.796 * [backup-simplify]: Simplify (+ 0 0) into 0
11.796 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.796 * [backup-simplify]: Simplify (+ 1 0) into 1
11.796 * [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)))
11.797 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
11.800 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
11.800 * [taylor]: Taking taylor expansion of 0 in kx
11.800 * [backup-simplify]: Simplify 0 into 0
11.800 * [backup-simplify]: Simplify 0 into 0
11.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.802 * [backup-simplify]: Simplify 1/6 into 1/6
11.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.804 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.804 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.805 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.806 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.806 * [backup-simplify]: Simplify (+ 0 0) into 0
11.806 * [backup-simplify]: Simplify (+ (* (sin ky) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin ky)))
11.807 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.807 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.808 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.808 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.808 * [backup-simplify]: Simplify (+ 0 0) into 0
11.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.809 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.810 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.810 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.810 * [backup-simplify]: Simplify (+ 0 0) into 0
11.811 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
11.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.812 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.813 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.814 * [backup-simplify]: Simplify (+ 0 0) into 0
11.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.815 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.817 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.817 * [backup-simplify]: Simplify (+ 0 0) into 0
11.818 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.818 * [backup-simplify]: Simplify (+ 0 0) into 0
11.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.820 * [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))))
11.820 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
11.820 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
11.820 * [taylor]: Taking taylor expansion of 1/6 in ky
11.820 * [backup-simplify]: Simplify 1/6 into 1/6
11.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
11.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
11.820 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
11.820 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
11.820 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
11.820 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.820 * [taylor]: Taking taylor expansion of ky in ky
11.820 * [backup-simplify]: Simplify 0 into 0
11.820 * [backup-simplify]: Simplify 1 into 1
11.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.821 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
11.821 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.821 * [taylor]: Taking taylor expansion of kx in ky
11.821 * [backup-simplify]: Simplify kx into kx
11.821 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.821 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.821 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.821 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.821 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.821 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.822 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.822 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
11.822 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
11.822 * [backup-simplify]: Simplify (+ 0) into 0
11.823 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.824 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.824 * [backup-simplify]: Simplify (+ 0 0) into 0
11.825 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.825 * [backup-simplify]: Simplify (+ 0 0) into 0
11.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
11.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
11.825 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.825 * [taylor]: Taking taylor expansion of ky in ky
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 1 into 1
11.826 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.827 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
11.827 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
11.827 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
11.827 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
11.827 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
11.827 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
11.827 * [taylor]: Taking taylor expansion of 1/6 in kx
11.827 * [backup-simplify]: Simplify 1/6 into 1/6
11.827 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.827 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.827 * [taylor]: Taking taylor expansion of kx in kx
11.827 * [backup-simplify]: Simplify 0 into 0
11.827 * [backup-simplify]: Simplify 1 into 1
11.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.828 * [backup-simplify]: Simplify (/ 1 1) into 1
11.828 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.829 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
11.830 * [backup-simplify]: Simplify (- 0) into 0
11.830 * [backup-simplify]: Simplify 0 into 0
11.830 * [taylor]: Taking taylor expansion of 0 in kx
11.830 * [backup-simplify]: Simplify 0 into 0
11.830 * [backup-simplify]: Simplify 0 into 0
11.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.832 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.833 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.833 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.834 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.834 * [backup-simplify]: Simplify (+ 0 0) into 0
11.835 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.835 * [backup-simplify]: Simplify (+ 0 0) into 0
11.835 * [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
11.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
11.836 * [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)))))
11.836 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
11.836 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
11.836 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
11.836 * [taylor]: Taking taylor expansion of 1/6 in kx
11.836 * [backup-simplify]: Simplify 1/6 into 1/6
11.836 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.836 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.836 * [taylor]: Taking taylor expansion of kx in kx
11.836 * [backup-simplify]: Simplify 0 into 0
11.836 * [backup-simplify]: Simplify 1 into 1
11.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.837 * [backup-simplify]: Simplify (/ 1 1) into 1
11.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
11.837 * [taylor]: Taking taylor expansion of 1/2 in kx
11.837 * [backup-simplify]: Simplify 1/2 into 1/2
11.837 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
11.837 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
11.837 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.837 * [taylor]: Taking taylor expansion of kx in kx
11.837 * [backup-simplify]: Simplify 0 into 0
11.837 * [backup-simplify]: Simplify 1 into 1
11.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.838 * [backup-simplify]: Simplify (* 1 1) into 1
11.838 * [backup-simplify]: Simplify (* 1 1) into 1
11.838 * [backup-simplify]: Simplify (/ 1 1) into 1
11.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.840 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
11.841 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.841 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
11.843 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
11.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
11.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.846 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
11.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
11.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
11.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
11.848 * [backup-simplify]: Simplify (+ 0 0) into 0
11.849 * [backup-simplify]: Simplify (- 0) into 0
11.849 * [backup-simplify]: Simplify 0 into 0
11.849 * [backup-simplify]: Simplify 0 into 0
11.849 * [backup-simplify]: Simplify 0 into 0
11.849 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
11.850 * [backup-simplify]: Simplify 0 into 0
11.850 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
11.851 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
11.851 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
11.851 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
11.851 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
11.851 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
11.851 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
11.851 * [taylor]: Taking taylor expansion of th in kx
11.851 * [backup-simplify]: Simplify th into th
11.851 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.851 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.851 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.851 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.851 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.851 * [taylor]: Taking taylor expansion of ky in kx
11.851 * [backup-simplify]: Simplify ky into ky
11.851 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.851 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.851 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.851 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.851 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.851 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.851 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.851 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.851 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.851 * [taylor]: Taking taylor expansion of ky in kx
11.851 * [backup-simplify]: Simplify ky into ky
11.851 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.851 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.851 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.851 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.851 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.851 * [taylor]: Taking taylor expansion of ky in kx
11.852 * [backup-simplify]: Simplify ky into ky
11.852 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.852 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.852 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.852 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.852 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.852 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.852 * [taylor]: Taking taylor expansion of kx in kx
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify 1 into 1
11.852 * [backup-simplify]: Simplify (/ 1 1) into 1
11.852 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.852 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.852 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.852 * [taylor]: Taking taylor expansion of kx in kx
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify 1 into 1
11.853 * [backup-simplify]: Simplify (/ 1 1) into 1
11.853 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.853 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.853 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.853 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.853 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.853 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.854 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.854 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.854 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.854 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.854 * [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)))
11.854 * [backup-simplify]: Simplify (+ 0) into 0
11.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.856 * [backup-simplify]: Simplify (+ 0 0) into 0
11.856 * [backup-simplify]: Simplify (+ 0) into 0
11.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.858 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.859 * [backup-simplify]: Simplify (+ 0 0) into 0
11.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.859 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.859 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.859 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.860 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.860 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.860 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.860 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.860 * [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)))))
11.860 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
11.860 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
11.860 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
11.860 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
11.860 * [taylor]: Taking taylor expansion of th in ky
11.860 * [backup-simplify]: Simplify th into th
11.860 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.860 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.860 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.860 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.860 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.861 * [taylor]: Taking taylor expansion of ky in ky
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (/ 1 1) into 1
11.861 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.861 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.861 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.861 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.861 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.861 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.861 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.861 * [taylor]: Taking taylor expansion of ky in ky
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.862 * [backup-simplify]: Simplify (/ 1 1) into 1
11.862 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.862 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.862 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.862 * [taylor]: Taking taylor expansion of ky in ky
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [backup-simplify]: Simplify (/ 1 1) into 1
11.862 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.862 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.862 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.862 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.862 * [taylor]: Taking taylor expansion of kx in ky
11.862 * [backup-simplify]: Simplify kx into kx
11.862 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.862 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.863 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.863 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.863 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.863 * [taylor]: Taking taylor expansion of kx in ky
11.863 * [backup-simplify]: Simplify kx into kx
11.863 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.863 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.863 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.863 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.863 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.863 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.863 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.863 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.863 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.863 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.863 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.864 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.864 * [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)))
11.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.864 * [backup-simplify]: Simplify (+ 0) into 0
11.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.866 * [backup-simplify]: Simplify (+ 0 0) into 0
11.867 * [backup-simplify]: Simplify (+ 0) into 0
11.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.869 * [backup-simplify]: Simplify (+ 0 0) into 0
11.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.869 * [backup-simplify]: Simplify (+ 0 0) into 0
11.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.870 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.870 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.870 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.870 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.870 * [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)))))
11.870 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
11.870 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
11.870 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
11.870 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.870 * [taylor]: Taking taylor expansion of th in th
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [backup-simplify]: Simplify 1 into 1
11.871 * [backup-simplify]: Simplify (/ 1 1) into 1
11.871 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.871 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.871 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.871 * [taylor]: Taking taylor expansion of ky in th
11.871 * [backup-simplify]: Simplify ky into ky
11.871 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.871 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.871 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.871 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
11.871 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.871 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
11.871 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
11.871 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.871 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.871 * [taylor]: Taking taylor expansion of ky in th
11.871 * [backup-simplify]: Simplify ky into ky
11.871 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.871 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.871 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.871 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.871 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.871 * [taylor]: Taking taylor expansion of ky in th
11.871 * [backup-simplify]: Simplify ky into ky
11.872 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.872 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.872 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.872 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
11.872 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.872 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.872 * [taylor]: Taking taylor expansion of kx in th
11.872 * [backup-simplify]: Simplify kx into kx
11.872 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.872 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.872 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.872 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.872 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.872 * [taylor]: Taking taylor expansion of kx in th
11.872 * [backup-simplify]: Simplify kx into kx
11.872 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.872 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.872 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.872 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.872 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.872 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.873 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.873 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.873 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.873 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.873 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.873 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.873 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.873 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.873 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.873 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.873 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.874 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.874 * [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)))
11.874 * [backup-simplify]: Simplify (+ 0) into 0
11.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.876 * [backup-simplify]: Simplify (+ 0 0) into 0
11.877 * [backup-simplify]: Simplify (+ 0) into 0
11.877 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.879 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.879 * [backup-simplify]: Simplify (+ 0) into 0
11.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.881 * [backup-simplify]: Simplify (+ 0 0) into 0
11.882 * [backup-simplify]: Simplify (+ 0) into 0
11.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.884 * [backup-simplify]: Simplify (+ 0 0) into 0
11.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.884 * [backup-simplify]: Simplify (+ 0 0) into 0
11.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.884 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.885 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.885 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.885 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.885 * [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)))))
11.885 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
11.885 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
11.885 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
11.885 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.885 * [taylor]: Taking taylor expansion of th in th
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 1 into 1
11.886 * [backup-simplify]: Simplify (/ 1 1) into 1
11.886 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.886 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.886 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.886 * [taylor]: Taking taylor expansion of ky in th
11.886 * [backup-simplify]: Simplify ky into ky
11.886 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.886 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.886 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.886 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
11.886 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.886 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
11.886 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
11.886 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.886 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.886 * [taylor]: Taking taylor expansion of ky in th
11.886 * [backup-simplify]: Simplify ky into ky
11.886 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.886 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.886 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.886 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.886 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.886 * [taylor]: Taking taylor expansion of ky in th
11.886 * [backup-simplify]: Simplify ky into ky
11.886 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.887 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.887 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
11.887 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.887 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.887 * [taylor]: Taking taylor expansion of kx in th
11.887 * [backup-simplify]: Simplify kx into kx
11.887 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.887 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.887 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.887 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.887 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.887 * [taylor]: Taking taylor expansion of kx in th
11.887 * [backup-simplify]: Simplify kx into kx
11.887 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.887 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.887 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.887 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.887 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.887 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.887 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.888 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.888 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.888 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.888 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.888 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.888 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.888 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.888 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.888 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.888 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.888 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.889 * [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)))
11.889 * [backup-simplify]: Simplify (+ 0) into 0
11.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.891 * [backup-simplify]: Simplify (+ 0 0) into 0
11.891 * [backup-simplify]: Simplify (+ 0) into 0
11.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.893 * [backup-simplify]: Simplify (+ 0 0) into 0
11.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.894 * [backup-simplify]: Simplify (+ 0) into 0
11.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.896 * [backup-simplify]: Simplify (+ 0 0) into 0
11.896 * [backup-simplify]: Simplify (+ 0) into 0
11.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.898 * [backup-simplify]: Simplify (+ 0 0) into 0
11.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.899 * [backup-simplify]: Simplify (+ 0 0) into 0
11.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.899 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.899 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.899 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.900 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.900 * [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)))))
11.900 * [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
11.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
11.900 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
11.900 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
11.900 * [taylor]: Taking taylor expansion of th in ky
11.900 * [backup-simplify]: Simplify th into th
11.900 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.900 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.900 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.900 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.900 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.900 * [taylor]: Taking taylor expansion of ky in ky
11.900 * [backup-simplify]: Simplify 0 into 0
11.900 * [backup-simplify]: Simplify 1 into 1
11.901 * [backup-simplify]: Simplify (/ 1 1) into 1
11.901 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
11.901 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
11.901 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
11.901 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
11.901 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.901 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.901 * [taylor]: Taking taylor expansion of kx in ky
11.901 * [backup-simplify]: Simplify kx into kx
11.901 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.901 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.901 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.901 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.901 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.901 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.901 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
11.901 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.901 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.902 * [taylor]: Taking taylor expansion of ky in ky
11.902 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify 1 into 1
11.902 * [backup-simplify]: Simplify (/ 1 1) into 1
11.902 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.902 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.902 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.902 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.903 * [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)))
11.903 * [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))))
11.903 * [backup-simplify]: Simplify (+ 0) into 0
11.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.905 * [backup-simplify]: Simplify (+ 0 0) into 0
11.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.906 * [backup-simplify]: Simplify (+ 0 0) into 0
11.906 * [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
11.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.907 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.907 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.907 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.907 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.907 * [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)))))
11.907 * [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
11.907 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
11.907 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
11.907 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
11.907 * [taylor]: Taking taylor expansion of th in kx
11.907 * [backup-simplify]: Simplify th into th
11.908 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.908 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.908 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.908 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.908 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.908 * [taylor]: Taking taylor expansion of ky in kx
11.908 * [backup-simplify]: Simplify ky into ky
11.908 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.908 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.908 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
11.908 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.908 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.908 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.908 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.908 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.908 * [taylor]: Taking taylor expansion of kx in kx
11.908 * [backup-simplify]: Simplify 0 into 0
11.908 * [backup-simplify]: Simplify 1 into 1
11.909 * [backup-simplify]: Simplify (/ 1 1) into 1
11.909 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.909 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.909 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.909 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.909 * [taylor]: Taking taylor expansion of ky in kx
11.909 * [backup-simplify]: Simplify ky into ky
11.909 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.909 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.909 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.909 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.909 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.909 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.910 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.910 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.910 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.910 * [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)))
11.910 * [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))))
11.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.911 * [backup-simplify]: Simplify (+ 0) into 0
11.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.913 * [backup-simplify]: Simplify (+ 0 0) into 0
11.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.914 * [backup-simplify]: Simplify (+ 0 0) into 0
11.914 * [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
11.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.915 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.915 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.915 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.915 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.915 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.915 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.915 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.916 * [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)))))
11.916 * [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)))))
11.917 * [backup-simplify]: Simplify (+ 0) into 0
11.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.919 * [backup-simplify]: Simplify (+ 0 0) into 0
11.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.920 * [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
11.920 * [taylor]: Taking taylor expansion of 0 in ky
11.920 * [backup-simplify]: Simplify 0 into 0
11.920 * [taylor]: Taking taylor expansion of 0 in kx
11.920 * [backup-simplify]: Simplify 0 into 0
11.920 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify (+ 0) into 0
11.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
11.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.925 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
11.925 * [backup-simplify]: Simplify (+ 0 0) into 0
11.926 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.926 * [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
11.926 * [taylor]: Taking taylor expansion of 0 in kx
11.926 * [backup-simplify]: Simplify 0 into 0
11.926 * [backup-simplify]: Simplify 0 into 0
11.927 * [backup-simplify]: Simplify (+ 0) into 0
11.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.929 * [backup-simplify]: Simplify (+ 0 0) into 0
11.929 * [backup-simplify]: Simplify (+ 0) into 0
11.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
11.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
11.932 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.933 * [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
11.933 * [backup-simplify]: Simplify 0 into 0
11.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.936 * [backup-simplify]: Simplify (+ 0 0) into 0
11.937 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.939 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.940 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.941 * [backup-simplify]: Simplify (+ 0 0) into 0
11.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.944 * [backup-simplify]: Simplify (+ 0 0) into 0
11.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.946 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.948 * [backup-simplify]: Simplify (+ 0 0) into 0
11.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.952 * [backup-simplify]: Simplify (+ 0 0) into 0
11.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.953 * [backup-simplify]: Simplify (+ 0 0) into 0
11.954 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.955 * [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
11.955 * [taylor]: Taking taylor expansion of 0 in ky
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [taylor]: Taking taylor expansion of 0 in kx
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [taylor]: Taking taylor expansion of 0 in kx
11.955 * [backup-simplify]: Simplify 0 into 0
11.955 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.958 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.959 * [backup-simplify]: Simplify (+ 0 0) into 0
11.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.960 * [backup-simplify]: Simplify (+ 0 0) into 0
11.961 * [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
11.962 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.964 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.966 * [backup-simplify]: Simplify (+ 0 0) into 0
11.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.967 * [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
11.967 * [taylor]: Taking taylor expansion of 0 in kx
11.967 * [backup-simplify]: Simplify 0 into 0
11.967 * [backup-simplify]: Simplify 0 into 0
11.968 * [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)))
11.968 * [backup-simplify]: Simplify (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
11.968 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
11.968 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
11.968 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.968 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.968 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.968 * [taylor]: Taking taylor expansion of -1 in kx
11.968 * [backup-simplify]: Simplify -1 into -1
11.968 * [taylor]: Taking taylor expansion of th in kx
11.968 * [backup-simplify]: Simplify th into th
11.968 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.969 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.969 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.969 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.969 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.969 * [taylor]: Taking taylor expansion of -1 in kx
11.969 * [backup-simplify]: Simplify -1 into -1
11.969 * [taylor]: Taking taylor expansion of ky in kx
11.969 * [backup-simplify]: Simplify ky into ky
11.969 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.969 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.969 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.969 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.969 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.969 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.969 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.969 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.969 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.969 * [taylor]: Taking taylor expansion of -1 in kx
11.969 * [backup-simplify]: Simplify -1 into -1
11.969 * [taylor]: Taking taylor expansion of ky in kx
11.969 * [backup-simplify]: Simplify ky into ky
11.969 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.969 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.969 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.970 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.970 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.970 * [taylor]: Taking taylor expansion of -1 in kx
11.970 * [backup-simplify]: Simplify -1 into -1
11.970 * [taylor]: Taking taylor expansion of ky in kx
11.970 * [backup-simplify]: Simplify ky into ky
11.970 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.970 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.970 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.970 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.970 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.970 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.970 * [taylor]: Taking taylor expansion of -1 in kx
11.970 * [backup-simplify]: Simplify -1 into -1
11.970 * [taylor]: Taking taylor expansion of kx in kx
11.970 * [backup-simplify]: Simplify 0 into 0
11.970 * [backup-simplify]: Simplify 1 into 1
11.971 * [backup-simplify]: Simplify (/ -1 1) into -1
11.971 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.971 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.971 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.971 * [taylor]: Taking taylor expansion of -1 in kx
11.971 * [backup-simplify]: Simplify -1 into -1
11.971 * [taylor]: Taking taylor expansion of kx in kx
11.971 * [backup-simplify]: Simplify 0 into 0
11.971 * [backup-simplify]: Simplify 1 into 1
11.971 * [backup-simplify]: Simplify (/ -1 1) into -1
11.971 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.972 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.972 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.972 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.972 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.972 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.972 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.972 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.972 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.972 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.973 * [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)))
11.973 * [backup-simplify]: Simplify (+ 0) into 0
11.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.974 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.975 * [backup-simplify]: Simplify (+ 0 0) into 0
11.976 * [backup-simplify]: Simplify (+ 0) into 0
11.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.976 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.978 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.979 * [backup-simplify]: Simplify (+ 0 0) into 0
11.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.979 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.979 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.979 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.979 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.979 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.980 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.980 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.980 * [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)))))
11.980 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
11.980 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.980 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.980 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.980 * [taylor]: Taking taylor expansion of -1 in ky
11.980 * [backup-simplify]: Simplify -1 into -1
11.980 * [taylor]: Taking taylor expansion of th in ky
11.980 * [backup-simplify]: Simplify th into th
11.980 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.980 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.980 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.980 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.980 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.980 * [taylor]: Taking taylor expansion of -1 in ky
11.981 * [backup-simplify]: Simplify -1 into -1
11.981 * [taylor]: Taking taylor expansion of ky in ky
11.981 * [backup-simplify]: Simplify 0 into 0
11.981 * [backup-simplify]: Simplify 1 into 1
11.981 * [backup-simplify]: Simplify (/ -1 1) into -1
11.981 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.981 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.981 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.981 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.981 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.981 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.981 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.981 * [taylor]: Taking taylor expansion of -1 in ky
11.981 * [backup-simplify]: Simplify -1 into -1
11.981 * [taylor]: Taking taylor expansion of ky in ky
11.981 * [backup-simplify]: Simplify 0 into 0
11.982 * [backup-simplify]: Simplify 1 into 1
11.982 * [backup-simplify]: Simplify (/ -1 1) into -1
11.982 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.982 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.982 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.982 * [taylor]: Taking taylor expansion of -1 in ky
11.982 * [backup-simplify]: Simplify -1 into -1
11.982 * [taylor]: Taking taylor expansion of ky in ky
11.982 * [backup-simplify]: Simplify 0 into 0
11.982 * [backup-simplify]: Simplify 1 into 1
11.983 * [backup-simplify]: Simplify (/ -1 1) into -1
11.983 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.983 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.983 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.983 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.983 * [taylor]: Taking taylor expansion of -1 in ky
11.983 * [backup-simplify]: Simplify -1 into -1
11.983 * [taylor]: Taking taylor expansion of kx in ky
11.983 * [backup-simplify]: Simplify kx into kx
11.983 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.983 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.983 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.983 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.983 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.983 * [taylor]: Taking taylor expansion of -1 in ky
11.983 * [backup-simplify]: Simplify -1 into -1
11.983 * [taylor]: Taking taylor expansion of kx in ky
11.983 * [backup-simplify]: Simplify kx into kx
11.983 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.983 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.983 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.984 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.984 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.984 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.984 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.984 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.984 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.984 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.984 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.984 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.985 * [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)))
11.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.985 * [backup-simplify]: Simplify (+ 0) into 0
11.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.986 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.988 * [backup-simplify]: Simplify (+ 0 0) into 0
11.988 * [backup-simplify]: Simplify (+ 0) into 0
11.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.989 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.991 * [backup-simplify]: Simplify (+ 0 0) into 0
11.991 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.991 * [backup-simplify]: Simplify (+ 0 0) into 0
11.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.992 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.992 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.992 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.992 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.992 * [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)))))
11.992 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
11.992 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.992 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.992 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.992 * [taylor]: Taking taylor expansion of -1 in th
11.992 * [backup-simplify]: Simplify -1 into -1
11.992 * [taylor]: Taking taylor expansion of th in th
11.992 * [backup-simplify]: Simplify 0 into 0
11.992 * [backup-simplify]: Simplify 1 into 1
11.993 * [backup-simplify]: Simplify (/ -1 1) into -1
11.993 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.993 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.993 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.993 * [taylor]: Taking taylor expansion of -1 in th
11.993 * [backup-simplify]: Simplify -1 into -1
11.993 * [taylor]: Taking taylor expansion of ky in th
11.993 * [backup-simplify]: Simplify ky into ky
11.993 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.993 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.993 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.993 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
11.993 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.994 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
11.994 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.994 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.994 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.994 * [taylor]: Taking taylor expansion of -1 in th
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of ky in th
11.994 * [backup-simplify]: Simplify ky into ky
11.994 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.994 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.994 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.994 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.994 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.994 * [taylor]: Taking taylor expansion of -1 in th
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of ky in th
11.994 * [backup-simplify]: Simplify ky into ky
11.994 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.994 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.994 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.994 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.994 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.994 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.994 * [taylor]: Taking taylor expansion of -1 in th
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of kx in th
11.994 * [backup-simplify]: Simplify kx into kx
11.995 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.995 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.995 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.995 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.995 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.995 * [taylor]: Taking taylor expansion of -1 in th
11.995 * [backup-simplify]: Simplify -1 into -1
11.995 * [taylor]: Taking taylor expansion of kx in th
11.995 * [backup-simplify]: Simplify kx into kx
11.995 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.995 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.995 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.995 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.995 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.995 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.995 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.995 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.996 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.996 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.996 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.996 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.996 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.996 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.996 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.996 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.996 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.997 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.997 * [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)))
11.997 * [backup-simplify]: Simplify (+ 0) into 0
11.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.998 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.000 * [backup-simplify]: Simplify (+ 0 0) into 0
12.000 * [backup-simplify]: Simplify (+ 0) into 0
12.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.001 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.002 * [backup-simplify]: Simplify (+ 0 0) into 0
12.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.003 * [backup-simplify]: Simplify (+ 0) into 0
12.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.004 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.005 * [backup-simplify]: Simplify (+ 0 0) into 0
12.006 * [backup-simplify]: Simplify (+ 0) into 0
12.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.006 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.008 * [backup-simplify]: Simplify (+ 0 0) into 0
12.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.009 * [backup-simplify]: Simplify (+ 0 0) into 0
12.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.009 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.009 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.009 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.009 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
12.010 * [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)))))
12.010 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
12.010 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
12.010 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
12.010 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.010 * [taylor]: Taking taylor expansion of -1 in th
12.010 * [backup-simplify]: Simplify -1 into -1
12.010 * [taylor]: Taking taylor expansion of th in th
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.011 * [backup-simplify]: Simplify (/ -1 1) into -1
12.011 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.011 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
12.011 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
12.011 * [taylor]: Taking taylor expansion of -1 in th
12.011 * [backup-simplify]: Simplify -1 into -1
12.011 * [taylor]: Taking taylor expansion of ky in th
12.011 * [backup-simplify]: Simplify ky into ky
12.011 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.011 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.011 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.011 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
12.011 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.011 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
12.011 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
12.011 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
12.011 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
12.012 * [taylor]: Taking taylor expansion of -1 in th
12.012 * [backup-simplify]: Simplify -1 into -1
12.012 * [taylor]: Taking taylor expansion of ky in th
12.012 * [backup-simplify]: Simplify ky into ky
12.012 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.012 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.012 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.012 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
12.012 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
12.012 * [taylor]: Taking taylor expansion of -1 in th
12.012 * [backup-simplify]: Simplify -1 into -1
12.012 * [taylor]: Taking taylor expansion of ky in th
12.012 * [backup-simplify]: Simplify ky into ky
12.012 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.012 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.012 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.012 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
12.012 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
12.012 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
12.012 * [taylor]: Taking taylor expansion of -1 in th
12.012 * [backup-simplify]: Simplify -1 into -1
12.012 * [taylor]: Taking taylor expansion of kx in th
12.012 * [backup-simplify]: Simplify kx into kx
12.013 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.013 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.013 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.013 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
12.013 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
12.013 * [taylor]: Taking taylor expansion of -1 in th
12.013 * [backup-simplify]: Simplify -1 into -1
12.013 * [taylor]: Taking taylor expansion of kx in th
12.013 * [backup-simplify]: Simplify kx into kx
12.013 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.013 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.013 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.013 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.013 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.013 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.013 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.014 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.014 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.014 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.014 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.014 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.014 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.014 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.014 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.014 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.014 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.015 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.015 * [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)))
12.016 * [backup-simplify]: Simplify (+ 0) into 0
12.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.016 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.018 * [backup-simplify]: Simplify (+ 0 0) into 0
12.018 * [backup-simplify]: Simplify (+ 0) into 0
12.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.019 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.021 * [backup-simplify]: Simplify (+ 0 0) into 0
12.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.021 * [backup-simplify]: Simplify (+ 0) into 0
12.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.022 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.024 * [backup-simplify]: Simplify (+ 0 0) into 0
12.024 * [backup-simplify]: Simplify (+ 0) into 0
12.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.025 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.026 * [backup-simplify]: Simplify (+ 0 0) into 0
12.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.027 * [backup-simplify]: Simplify (+ 0 0) into 0
12.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.027 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.027 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.028 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.028 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
12.028 * [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)))))
12.028 * [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
12.028 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
12.028 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
12.028 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
12.028 * [taylor]: Taking taylor expansion of -1 in ky
12.028 * [backup-simplify]: Simplify -1 into -1
12.028 * [taylor]: Taking taylor expansion of th in ky
12.028 * [backup-simplify]: Simplify th into th
12.028 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.028 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.029 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.029 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.029 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.029 * [taylor]: Taking taylor expansion of -1 in ky
12.029 * [backup-simplify]: Simplify -1 into -1
12.029 * [taylor]: Taking taylor expansion of ky in ky
12.029 * [backup-simplify]: Simplify 0 into 0
12.029 * [backup-simplify]: Simplify 1 into 1
12.029 * [backup-simplify]: Simplify (/ -1 1) into -1
12.029 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
12.029 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
12.029 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
12.030 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
12.030 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.030 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.030 * [taylor]: Taking taylor expansion of -1 in ky
12.030 * [backup-simplify]: Simplify -1 into -1
12.030 * [taylor]: Taking taylor expansion of kx in ky
12.030 * [backup-simplify]: Simplify kx into kx
12.030 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.030 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.030 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.030 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.030 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.030 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.030 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
12.030 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.030 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.030 * [taylor]: Taking taylor expansion of -1 in ky
12.030 * [backup-simplify]: Simplify -1 into -1
12.030 * [taylor]: Taking taylor expansion of ky in ky
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 1 into 1
12.031 * [backup-simplify]: Simplify (/ -1 1) into -1
12.031 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.031 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.031 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.032 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.032 * [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)))
12.032 * [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))))
12.032 * [backup-simplify]: Simplify (+ 0) into 0
12.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.033 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.035 * [backup-simplify]: Simplify (+ 0 0) into 0
12.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.036 * [backup-simplify]: Simplify (+ 0 0) into 0
12.036 * [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
12.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
12.036 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
12.036 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
12.037 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
12.037 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
12.037 * [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)))))
12.037 * [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
12.037 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
12.037 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
12.037 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
12.037 * [taylor]: Taking taylor expansion of -1 in kx
12.037 * [backup-simplify]: Simplify -1 into -1
12.037 * [taylor]: Taking taylor expansion of th in kx
12.037 * [backup-simplify]: Simplify th into th
12.037 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.037 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.038 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.038 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.038 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.038 * [taylor]: Taking taylor expansion of -1 in kx
12.038 * [backup-simplify]: Simplify -1 into -1
12.038 * [taylor]: Taking taylor expansion of ky in kx
12.038 * [backup-simplify]: Simplify ky into ky
12.038 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.038 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.038 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
12.038 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
12.038 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
12.038 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
12.038 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.038 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.038 * [taylor]: Taking taylor expansion of -1 in kx
12.038 * [backup-simplify]: Simplify -1 into -1
12.038 * [taylor]: Taking taylor expansion of kx in kx
12.038 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify 1 into 1
12.039 * [backup-simplify]: Simplify (/ -1 1) into -1
12.039 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.039 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
12.039 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.039 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.039 * [taylor]: Taking taylor expansion of -1 in kx
12.039 * [backup-simplify]: Simplify -1 into -1
12.039 * [taylor]: Taking taylor expansion of ky in kx
12.039 * [backup-simplify]: Simplify ky into ky
12.039 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.039 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.039 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.039 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.039 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.039 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.040 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.040 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.040 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.040 * [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)))
12.040 * [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))))
12.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.041 * [backup-simplify]: Simplify (+ 0) into 0
12.042 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.042 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.044 * [backup-simplify]: Simplify (+ 0 0) into 0
12.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.044 * [backup-simplify]: Simplify (+ 0 0) into 0
12.045 * [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
12.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
12.045 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
12.045 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
12.045 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
12.045 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.045 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.045 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.046 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
12.046 * [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)))))
12.046 * [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)))))
12.047 * [backup-simplify]: Simplify (+ 0) into 0
12.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.048 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.049 * [backup-simplify]: Simplify (+ 0 0) into 0
12.049 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.050 * [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
12.050 * [taylor]: Taking taylor expansion of 0 in ky
12.050 * [backup-simplify]: Simplify 0 into 0
12.050 * [taylor]: Taking taylor expansion of 0 in kx
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify (+ 0) into 0
12.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
12.052 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.054 * [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
12.054 * [taylor]: Taking taylor expansion of 0 in kx
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify 0 into 0
12.055 * [backup-simplify]: Simplify (+ 0) into 0
12.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.055 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.057 * [backup-simplify]: Simplify (+ 0 0) into 0
12.057 * [backup-simplify]: Simplify (+ 0) into 0
12.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
12.058 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
12.060 * [backup-simplify]: Simplify (+ 0 0) into 0
12.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.060 * [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
12.060 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.062 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.063 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.064 * [backup-simplify]: Simplify (+ 0 0) into 0
12.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.066 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.068 * [backup-simplify]: Simplify (+ 0 0) into 0
12.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.070 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.072 * [backup-simplify]: Simplify (+ 0 0) into 0
12.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.074 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.074 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.076 * [backup-simplify]: Simplify (+ 0 0) into 0
12.077 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.078 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.082 * [backup-simplify]: Simplify (+ 0 0) into 0
12.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.083 * [backup-simplify]: Simplify (+ 0 0) into 0
12.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.085 * [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
12.085 * [taylor]: Taking taylor expansion of 0 in ky
12.085 * [backup-simplify]: Simplify 0 into 0
12.085 * [taylor]: Taking taylor expansion of 0 in kx
12.085 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify 0 into 0
12.086 * [taylor]: Taking taylor expansion of 0 in kx
12.086 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.088 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.089 * [backup-simplify]: Simplify (+ 0 0) into 0
12.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.091 * [backup-simplify]: Simplify (+ 0 0) into 0
12.092 * [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
12.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
12.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.095 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.096 * [backup-simplify]: Simplify (+ 0 0) into 0
12.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.098 * [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
12.098 * [taylor]: Taking taylor expansion of 0 in kx
12.098 * [backup-simplify]: Simplify 0 into 0
12.098 * [backup-simplify]: Simplify 0 into 0
12.098 * [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)))
12.099 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
12.099 * [backup-simplify]: Simplify (/ (hypot (sin ky) (sin kx)) (sin ky)) into (/ (hypot (sin ky) (sin kx)) (sin ky))
12.099 * [approximate]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in (ky kx) around 0
12.099 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx
12.099 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
12.099 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
12.099 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
12.099 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
12.099 * [taylor]: Taking taylor expansion of (sin ky) in kx
12.099 * [taylor]: Taking taylor expansion of ky in kx
12.099 * [backup-simplify]: Simplify ky into ky
12.099 * [backup-simplify]: Simplify (sin ky) into (sin ky)
12.099 * [backup-simplify]: Simplify (cos ky) into (cos ky)
12.099 * [taylor]: Taking taylor expansion of (sin ky) in kx
12.099 * [taylor]: Taking taylor expansion of ky in kx
12.099 * [backup-simplify]: Simplify ky into ky
12.099 * [backup-simplify]: Simplify (sin ky) into (sin ky)
12.099 * [backup-simplify]: Simplify (cos ky) into (cos ky)
12.099 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
12.099 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.099 * [taylor]: Taking taylor expansion of kx in kx
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 1 into 1
12.100 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.100 * [taylor]: Taking taylor expansion of kx in kx
12.100 * [backup-simplify]: Simplify 0 into 0
12.100 * [backup-simplify]: Simplify 1 into 1
12.100 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
12.100 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
12.100 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
12.100 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
12.100 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
12.100 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
12.100 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
12.101 * [backup-simplify]: Simplify (* 0 0) into 0
12.101 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
12.101 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
12.101 * [backup-simplify]: Simplify (+ 0) into 0
12.102 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
12.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.103 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
12.103 * [backup-simplify]: Simplify (+ 0 0) into 0
12.104 * [backup-simplify]: Simplify (+ 0) into 0
12.104 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
12.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.106 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
12.106 * [backup-simplify]: Simplify (+ 0 0) into 0
12.106 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
12.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.108 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.109 * [backup-simplify]: Simplify (+ 0 0) into 0
12.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
12.109 * [taylor]: Taking taylor expansion of (sin ky) in kx
12.109 * [taylor]: Taking taylor expansion of ky in kx
12.109 * [backup-simplify]: Simplify ky into ky
12.109 * [backup-simplify]: Simplify (sin ky) into (sin ky)
12.109 * [backup-simplify]: Simplify (cos ky) into (cos ky)
12.109 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
12.109 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
12.109 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
12.109 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
12.109 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
12.109 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
12.109 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
12.109 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
12.109 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
12.109 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.109 * [taylor]: Taking taylor expansion of ky in ky
12.109 * [backup-simplify]: Simplify 0 into 0
12.109 * [backup-simplify]: Simplify 1 into 1
12.110 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.110 * [taylor]: Taking taylor expansion of ky in ky
12.110 * [backup-simplify]: Simplify 0 into 0
12.110 * [backup-simplify]: Simplify 1 into 1
12.110 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
12.110 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.110 * [taylor]: Taking taylor expansion of kx in ky
12.110 * [backup-simplify]: Simplify kx into kx
12.110 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.110 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.110 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.110 * [taylor]: Taking taylor expansion of kx in ky
12.110 * [backup-simplify]: Simplify kx into kx
12.110 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.110 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.110 * [backup-simplify]: Simplify (* 0 0) into 0
12.110 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.110 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.111 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.111 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.111 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.111 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.111 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
12.111 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
12.111 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
12.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.112 * [backup-simplify]: Simplify (+ 0) into 0
12.113 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.113 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.114 * [backup-simplify]: Simplify (+ 0 0) into 0
12.114 * [backup-simplify]: Simplify (+ 0) into 0
12.114 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.115 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.115 * [backup-simplify]: Simplify (+ 0 0) into 0
12.115 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
12.116 * [backup-simplify]: Simplify (+ 0 0) into 0
12.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
12.116 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.116 * [taylor]: Taking taylor expansion of ky in ky
12.116 * [backup-simplify]: Simplify 0 into 0
12.116 * [backup-simplify]: Simplify 1 into 1
12.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.116 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
12.116 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
12.116 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
12.116 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
12.116 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
12.116 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
12.116 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.116 * [taylor]: Taking taylor expansion of ky in ky
12.116 * [backup-simplify]: Simplify 0 into 0
12.116 * [backup-simplify]: Simplify 1 into 1
12.116 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.116 * [taylor]: Taking taylor expansion of ky in ky
12.116 * [backup-simplify]: Simplify 0 into 0
12.116 * [backup-simplify]: Simplify 1 into 1
12.116 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
12.116 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.117 * [taylor]: Taking taylor expansion of kx in ky
12.117 * [backup-simplify]: Simplify kx into kx
12.117 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.117 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.117 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.117 * [taylor]: Taking taylor expansion of kx in ky
12.117 * [backup-simplify]: Simplify kx into kx
12.117 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.117 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.117 * [backup-simplify]: Simplify (* 0 0) into 0
12.117 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.117 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.117 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.117 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.117 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.117 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.117 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
12.117 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
12.117 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
12.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.119 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.119 * [backup-simplify]: Simplify (+ 0) into 0
12.119 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.120 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.120 * [backup-simplify]: Simplify (+ 0 0) into 0
12.120 * [backup-simplify]: Simplify (+ 0) into 0
12.121 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.121 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.122 * [backup-simplify]: Simplify (+ 0 0) into 0
12.122 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
12.122 * [backup-simplify]: Simplify (+ 0 0) into 0
12.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
12.122 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.122 * [taylor]: Taking taylor expansion of ky in ky
12.122 * [backup-simplify]: Simplify 0 into 0
12.122 * [backup-simplify]: Simplify 1 into 1
12.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.122 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
12.123 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.123 * [taylor]: Taking taylor expansion of kx in kx
12.123 * [backup-simplify]: Simplify 0 into 0
12.123 * [backup-simplify]: Simplify 1 into 1
12.123 * [backup-simplify]: Simplify 0 into 0
12.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)))) into 0
12.124 * [taylor]: Taking taylor expansion of 0 in kx
12.124 * [backup-simplify]: Simplify 0 into 0
12.124 * [backup-simplify]: Simplify 0 into 0
12.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.124 * [backup-simplify]: Simplify 1 into 1
12.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.126 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.126 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
12.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.127 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
12.128 * [backup-simplify]: Simplify (+ 0 0) into 0
12.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.128 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
12.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.129 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
12.129 * [backup-simplify]: Simplify (+ 0 0) into 0
12.130 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
12.130 * [backup-simplify]: Simplify (+ 1 0) into 1
12.130 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
12.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.132 * [backup-simplify]: Simplify (- (/ (/ 1/2 (sin kx)) 1) (+ (* (sin kx) (/ -1/6 1)) (* 0 (/ 0 1)))) into (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx))))
12.132 * [taylor]: Taking taylor expansion of (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) in kx
12.132 * [taylor]: Taking taylor expansion of (* 1/6 (sin kx)) in kx
12.132 * [taylor]: Taking taylor expansion of 1/6 in kx
12.132 * [backup-simplify]: Simplify 1/6 into 1/6
12.132 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.132 * [taylor]: Taking taylor expansion of kx in kx
12.132 * [backup-simplify]: Simplify 0 into 0
12.132 * [backup-simplify]: Simplify 1 into 1
12.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sin kx))) in kx
12.132 * [taylor]: Taking taylor expansion of 1/2 in kx
12.132 * [backup-simplify]: Simplify 1/2 into 1/2
12.132 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
12.132 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.132 * [taylor]: Taking taylor expansion of kx in kx
12.132 * [backup-simplify]: Simplify 0 into 0
12.132 * [backup-simplify]: Simplify 1 into 1
12.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.133 * [backup-simplify]: Simplify (/ 1 1) into 1
12.133 * [backup-simplify]: Simplify (* 1/6 0) into 0
12.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.135 * [backup-simplify]: Simplify (+ 0 0) into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.138 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
12.138 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.139 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.140 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.140 * [backup-simplify]: Simplify (+ 0 0) into 0
12.141 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.142 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.143 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.143 * [backup-simplify]: Simplify (+ 0 0) into 0
12.144 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
12.144 * [backup-simplify]: Simplify (+ 0 0) into 0
12.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
12.145 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)) (* 0 (/ -1/6 1)) (* (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) (/ 0 1)))) into 0
12.146 * [taylor]: Taking taylor expansion of 0 in kx
12.146 * [backup-simplify]: Simplify 0 into 0
12.146 * [backup-simplify]: Simplify 0 into 0
12.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.147 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
12.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
12.151 * [backup-simplify]: Simplify (+ (* 1/2 1/6) (+ (* 0 0) (* 0 1))) into 1/12
12.152 * [backup-simplify]: Simplify (+ 1/6 1/12) into 1/4
12.152 * [backup-simplify]: Simplify 1/4 into 1/4
12.152 * [backup-simplify]: Simplify 0 into 0
12.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.153 * [backup-simplify]: Simplify -1/6 into -1/6
12.154 * [backup-simplify]: Simplify (+ (* -1/6 (* (pow kx 3) (/ 1 ky))) (+ (* 1/4 (* kx ky)) (* 1 (* kx (/ 1 ky))))) into (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
12.154 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) into (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))
12.154 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in (ky kx) around 0
12.154 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx
12.154 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
12.154 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
12.154 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
12.154 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
12.154 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.154 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.154 * [taylor]: Taking taylor expansion of ky in kx
12.154 * [backup-simplify]: Simplify ky into ky
12.154 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.155 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.155 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.155 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.155 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.155 * [taylor]: Taking taylor expansion of ky in kx
12.155 * [backup-simplify]: Simplify ky into ky
12.155 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.155 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.155 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.155 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
12.155 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
12.155 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
12.155 * [taylor]: Taking taylor expansion of kx in kx
12.155 * [backup-simplify]: Simplify 0 into 0
12.155 * [backup-simplify]: Simplify 1 into 1
12.156 * [backup-simplify]: Simplify (/ 1 1) into 1
12.156 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.156 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
12.156 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
12.156 * [taylor]: Taking taylor expansion of kx in kx
12.156 * [backup-simplify]: Simplify 0 into 0
12.156 * [backup-simplify]: Simplify 1 into 1
12.156 * [backup-simplify]: Simplify (/ 1 1) into 1
12.156 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.156 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.157 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.157 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.157 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.157 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.157 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.157 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.157 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.157 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.158 * [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)))
12.158 * [backup-simplify]: Simplify (+ 0) into 0
12.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.161 * [backup-simplify]: Simplify (+ 0 0) into 0
12.161 * [backup-simplify]: Simplify (+ 0) into 0
12.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.163 * [backup-simplify]: Simplify (+ 0 0) into 0
12.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.164 * [backup-simplify]: Simplify (+ 0 0) into 0
12.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.164 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.165 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.165 * [taylor]: Taking taylor expansion of ky in kx
12.165 * [backup-simplify]: Simplify ky into ky
12.165 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.165 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.165 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.165 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.165 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.165 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.165 * [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))))
12.165 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
12.165 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
12.166 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
12.166 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
12.166 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
12.166 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.166 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.166 * [taylor]: Taking taylor expansion of ky in ky
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [backup-simplify]: Simplify (/ 1 1) into 1
12.166 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.166 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.166 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.166 * [taylor]: Taking taylor expansion of ky in ky
12.166 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify 1 into 1
12.167 * [backup-simplify]: Simplify (/ 1 1) into 1
12.167 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.167 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
12.167 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.167 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.167 * [taylor]: Taking taylor expansion of kx in ky
12.167 * [backup-simplify]: Simplify kx into kx
12.167 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.167 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.167 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.167 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.167 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.167 * [taylor]: Taking taylor expansion of kx in ky
12.167 * [backup-simplify]: Simplify kx into kx
12.168 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.168 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.168 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.168 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.168 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.168 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.168 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.168 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.168 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.168 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.169 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.169 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.169 * [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)))
12.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.170 * [backup-simplify]: Simplify (+ 0) into 0
12.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.172 * [backup-simplify]: Simplify (+ 0 0) into 0
12.173 * [backup-simplify]: Simplify (+ 0) into 0
12.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.175 * [backup-simplify]: Simplify (+ 0 0) into 0
12.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.176 * [backup-simplify]: Simplify (+ 0 0) into 0
12.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.176 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.176 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.176 * [taylor]: Taking taylor expansion of ky in ky
12.176 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify 1 into 1
12.177 * [backup-simplify]: Simplify (/ 1 1) into 1
12.177 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.177 * [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))))
12.177 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
12.177 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
12.177 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
12.177 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
12.177 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
12.177 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.177 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.177 * [taylor]: Taking taylor expansion of ky in ky
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify 1 into 1
12.178 * [backup-simplify]: Simplify (/ 1 1) into 1
12.178 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.178 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.178 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.178 * [taylor]: Taking taylor expansion of ky in ky
12.178 * [backup-simplify]: Simplify 0 into 0
12.178 * [backup-simplify]: Simplify 1 into 1
12.178 * [backup-simplify]: Simplify (/ 1 1) into 1
12.178 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.178 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
12.178 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.178 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.178 * [taylor]: Taking taylor expansion of kx in ky
12.178 * [backup-simplify]: Simplify kx into kx
12.179 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.179 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.179 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.179 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.179 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.179 * [taylor]: Taking taylor expansion of kx in ky
12.179 * [backup-simplify]: Simplify kx into kx
12.179 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.179 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.179 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.179 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.179 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.179 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.179 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.179 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.180 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.180 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.180 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.180 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.180 * [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)))
12.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.181 * [backup-simplify]: Simplify (+ 0) into 0
12.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.183 * [backup-simplify]: Simplify (+ 0 0) into 0
12.183 * [backup-simplify]: Simplify (+ 0) into 0
12.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.186 * [backup-simplify]: Simplify (+ 0 0) into 0
12.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.186 * [backup-simplify]: Simplify (+ 0 0) into 0
12.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.187 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.187 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.187 * [taylor]: Taking taylor expansion of ky in ky
12.187 * [backup-simplify]: Simplify 0 into 0
12.187 * [backup-simplify]: Simplify 1 into 1
12.187 * [backup-simplify]: Simplify (/ 1 1) into 1
12.187 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.188 * [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))))
12.188 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in kx
12.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
12.188 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
12.188 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
12.188 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
12.188 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
12.188 * [taylor]: Taking taylor expansion of kx in kx
12.188 * [backup-simplify]: Simplify 0 into 0
12.188 * [backup-simplify]: Simplify 1 into 1
12.188 * [backup-simplify]: Simplify (/ 1 1) into 1
12.188 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.188 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
12.188 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.189 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.189 * [taylor]: Taking taylor expansion of ky in kx
12.189 * [backup-simplify]: Simplify ky into ky
12.189 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.189 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.189 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.189 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.189 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.189 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.189 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.189 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.189 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.190 * [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)))
12.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.190 * [backup-simplify]: Simplify (+ 0) into 0
12.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.193 * [backup-simplify]: Simplify (+ 0 0) into 0
12.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.194 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in kx
12.194 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.194 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.194 * [taylor]: Taking taylor expansion of ky in kx
12.194 * [backup-simplify]: Simplify ky into ky
12.194 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.194 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.194 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.194 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.194 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.194 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.195 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
12.195 * [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))))
12.195 * [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))))
12.196 * [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
12.196 * [taylor]: Taking taylor expansion of 0 in kx
12.196 * [backup-simplify]: Simplify 0 into 0
12.196 * [backup-simplify]: Simplify 0 into 0
12.196 * [backup-simplify]: Simplify (+ 0) into 0
12.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.199 * [backup-simplify]: Simplify (+ 0 0) into 0
12.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0
12.199 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) into 0
12.199 * [backup-simplify]: Simplify 0 into 0
12.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
12.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.201 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.203 * [backup-simplify]: Simplify (+ 0 0) into 0
12.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.205 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.209 * [backup-simplify]: Simplify (+ 0 0) into 0
12.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
12.210 * [backup-simplify]: Simplify (+ 0 0) into 0
12.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.211 * [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
12.211 * [taylor]: Taking taylor expansion of 0 in kx
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 0 into 0
12.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.214 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.214 * [backup-simplify]: Simplify (+ 0 0) into 0
12.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
12.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
12.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.216 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.218 * [backup-simplify]: Simplify (+ 0 0) into 0
12.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
12.219 * [backup-simplify]: Simplify (+ 0 0) into 0
12.220 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.220 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) into 0
12.220 * [backup-simplify]: Simplify 0 into 0
12.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
12.222 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.225 * [backup-simplify]: Simplify (+ 0 0) into 0
12.226 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.229 * [backup-simplify]: Simplify (+ 0 0) into 0
12.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
12.230 * [backup-simplify]: Simplify (+ 0 0) into 0
12.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.232 * [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
12.232 * [taylor]: Taking taylor expansion of 0 in kx
12.232 * [backup-simplify]: Simplify 0 into 0
12.232 * [backup-simplify]: Simplify 0 into 0
12.232 * [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)))
12.232 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) into (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky)))
12.232 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in (ky kx) around 0
12.232 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in kx
12.232 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
12.232 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.233 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
12.233 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
12.233 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.233 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.233 * [taylor]: Taking taylor expansion of -1 in kx
12.233 * [backup-simplify]: Simplify -1 into -1
12.233 * [taylor]: Taking taylor expansion of ky in kx
12.233 * [backup-simplify]: Simplify ky into ky
12.233 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.233 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.233 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.233 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.233 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.233 * [taylor]: Taking taylor expansion of -1 in kx
12.233 * [backup-simplify]: Simplify -1 into -1
12.233 * [taylor]: Taking taylor expansion of ky in kx
12.233 * [backup-simplify]: Simplify ky into ky
12.233 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.233 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.233 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.233 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
12.233 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.233 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.233 * [taylor]: Taking taylor expansion of -1 in kx
12.233 * [backup-simplify]: Simplify -1 into -1
12.233 * [taylor]: Taking taylor expansion of kx in kx
12.233 * [backup-simplify]: Simplify 0 into 0
12.233 * [backup-simplify]: Simplify 1 into 1
12.234 * [backup-simplify]: Simplify (/ -1 1) into -1
12.234 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.234 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.234 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.234 * [taylor]: Taking taylor expansion of -1 in kx
12.234 * [backup-simplify]: Simplify -1 into -1
12.234 * [taylor]: Taking taylor expansion of kx in kx
12.234 * [backup-simplify]: Simplify 0 into 0
12.234 * [backup-simplify]: Simplify 1 into 1
12.235 * [backup-simplify]: Simplify (/ -1 1) into -1
12.235 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.235 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.235 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.235 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.235 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.235 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.235 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.235 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.236 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.236 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.236 * [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)))
12.236 * [backup-simplify]: Simplify (+ 0) into 0
12.237 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.237 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.239 * [backup-simplify]: Simplify (+ 0) into 0
12.239 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.240 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.241 * [backup-simplify]: Simplify (+ 0 0) into 0
12.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.242 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.242 * [backup-simplify]: Simplify (+ 0 0) into 0
12.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.242 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.242 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.242 * [taylor]: Taking taylor expansion of -1 in kx
12.242 * [backup-simplify]: Simplify -1 into -1
12.243 * [taylor]: Taking taylor expansion of ky in kx
12.243 * [backup-simplify]: Simplify ky into ky
12.243 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.243 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.243 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.243 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.243 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.243 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.243 * [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))))
12.243 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
12.243 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
12.244 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.244 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
12.244 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
12.244 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.244 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.244 * [taylor]: Taking taylor expansion of -1 in ky
12.244 * [backup-simplify]: Simplify -1 into -1
12.244 * [taylor]: Taking taylor expansion of ky in ky
12.244 * [backup-simplify]: Simplify 0 into 0
12.244 * [backup-simplify]: Simplify 1 into 1
12.244 * [backup-simplify]: Simplify (/ -1 1) into -1
12.244 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.244 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.244 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.244 * [taylor]: Taking taylor expansion of -1 in ky
12.244 * [backup-simplify]: Simplify -1 into -1
12.244 * [taylor]: Taking taylor expansion of ky in ky
12.245 * [backup-simplify]: Simplify 0 into 0
12.245 * [backup-simplify]: Simplify 1 into 1
12.245 * [backup-simplify]: Simplify (/ -1 1) into -1
12.245 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.245 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
12.245 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.245 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.245 * [taylor]: Taking taylor expansion of -1 in ky
12.245 * [backup-simplify]: Simplify -1 into -1
12.245 * [taylor]: Taking taylor expansion of kx in ky
12.245 * [backup-simplify]: Simplify kx into kx
12.245 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.245 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.245 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.245 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.245 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.246 * [taylor]: Taking taylor expansion of -1 in ky
12.246 * [backup-simplify]: Simplify -1 into -1
12.246 * [taylor]: Taking taylor expansion of kx in ky
12.246 * [backup-simplify]: Simplify kx into kx
12.246 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.246 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.246 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.246 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.246 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.246 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.246 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.246 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.246 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.246 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.247 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.247 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.247 * [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)))
12.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.248 * [backup-simplify]: Simplify (+ 0) into 0
12.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.248 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.250 * [backup-simplify]: Simplify (+ 0 0) into 0
12.250 * [backup-simplify]: Simplify (+ 0) into 0
12.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.251 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.252 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.253 * [backup-simplify]: Simplify (+ 0 0) into 0
12.253 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.253 * [backup-simplify]: Simplify (+ 0 0) into 0
12.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.254 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.254 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.254 * [taylor]: Taking taylor expansion of -1 in ky
12.254 * [backup-simplify]: Simplify -1 into -1
12.254 * [taylor]: Taking taylor expansion of ky in ky
12.254 * [backup-simplify]: Simplify 0 into 0
12.254 * [backup-simplify]: Simplify 1 into 1
12.254 * [backup-simplify]: Simplify (/ -1 1) into -1
12.255 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.255 * [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))))
12.255 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
12.255 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
12.255 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.255 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
12.255 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
12.255 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.255 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.255 * [taylor]: Taking taylor expansion of -1 in ky
12.255 * [backup-simplify]: Simplify -1 into -1
12.255 * [taylor]: Taking taylor expansion of ky in ky
12.255 * [backup-simplify]: Simplify 0 into 0
12.255 * [backup-simplify]: Simplify 1 into 1
12.256 * [backup-simplify]: Simplify (/ -1 1) into -1
12.256 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.256 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.256 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.256 * [taylor]: Taking taylor expansion of -1 in ky
12.256 * [backup-simplify]: Simplify -1 into -1
12.256 * [taylor]: Taking taylor expansion of ky in ky
12.256 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify 1 into 1
12.256 * [backup-simplify]: Simplify (/ -1 1) into -1
12.256 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.257 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
12.257 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.257 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.257 * [taylor]: Taking taylor expansion of -1 in ky
12.257 * [backup-simplify]: Simplify -1 into -1
12.257 * [taylor]: Taking taylor expansion of kx in ky
12.257 * [backup-simplify]: Simplify kx into kx
12.257 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.257 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.257 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.257 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.257 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.257 * [taylor]: Taking taylor expansion of -1 in ky
12.257 * [backup-simplify]: Simplify -1 into -1
12.257 * [taylor]: Taking taylor expansion of kx in ky
12.257 * [backup-simplify]: Simplify kx into kx
12.257 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.257 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.257 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.257 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.258 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.258 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.258 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.258 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.258 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.258 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.258 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.258 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.258 * [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)))
12.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.259 * [backup-simplify]: Simplify (+ 0) into 0
12.260 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.260 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.261 * [backup-simplify]: Simplify (+ 0 0) into 0
12.262 * [backup-simplify]: Simplify (+ 0) into 0
12.262 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.262 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.265 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.265 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.265 * [taylor]: Taking taylor expansion of -1 in ky
12.265 * [backup-simplify]: Simplify -1 into -1
12.265 * [taylor]: Taking taylor expansion of ky in ky
12.265 * [backup-simplify]: Simplify 0 into 0
12.265 * [backup-simplify]: Simplify 1 into 1
12.265 * [backup-simplify]: Simplify (/ -1 1) into -1
12.265 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.266 * [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))))
12.266 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in kx
12.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
12.266 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
12.266 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
12.266 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.266 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.266 * [taylor]: Taking taylor expansion of -1 in kx
12.266 * [backup-simplify]: Simplify -1 into -1
12.266 * [taylor]: Taking taylor expansion of kx in kx
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 1 into 1
12.266 * [backup-simplify]: Simplify (/ -1 1) into -1
12.267 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.267 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
12.267 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.267 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.267 * [taylor]: Taking taylor expansion of -1 in kx
12.267 * [backup-simplify]: Simplify -1 into -1
12.267 * [taylor]: Taking taylor expansion of ky in kx
12.267 * [backup-simplify]: Simplify ky into ky
12.267 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.267 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.267 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.267 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.267 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.267 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.267 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.268 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.268 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.268 * [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)))
12.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.269 * [backup-simplify]: Simplify (+ 0) into 0
12.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.269 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.270 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.271 * [backup-simplify]: Simplify (+ 0 0) into 0
12.271 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.271 * [backup-simplify]: Simplify (+ 0 0) into 0
12.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.272 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in kx
12.272 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.272 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.272 * [taylor]: Taking taylor expansion of -1 in kx
12.272 * [backup-simplify]: Simplify -1 into -1
12.272 * [taylor]: Taking taylor expansion of ky in kx
12.272 * [backup-simplify]: Simplify ky into ky
12.272 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.272 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.272 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.272 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.272 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.272 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.272 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
12.273 * [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))))
12.273 * [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))))
12.274 * [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
12.274 * [taylor]: Taking taylor expansion of 0 in kx
12.274 * [backup-simplify]: Simplify 0 into 0
12.274 * [backup-simplify]: Simplify 0 into 0
12.274 * [backup-simplify]: Simplify (+ 0) into 0
12.275 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.275 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.276 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.277 * [backup-simplify]: Simplify (+ 0 0) into 0
12.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0
12.277 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) into 0
12.277 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.280 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.281 * [backup-simplify]: Simplify (+ 0 0) into 0
12.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.283 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.285 * [backup-simplify]: Simplify (+ 0 0) into 0
12.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.286 * [backup-simplify]: Simplify (+ 0 0) into 0
12.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.287 * [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
12.287 * [taylor]: Taking taylor expansion of 0 in kx
12.288 * [backup-simplify]: Simplify 0 into 0
12.288 * [backup-simplify]: Simplify 0 into 0
12.288 * [backup-simplify]: Simplify 0 into 0
12.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.290 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.291 * [backup-simplify]: Simplify (+ 0 0) into 0
12.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
12.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.294 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.295 * [backup-simplify]: Simplify (+ 0 0) into 0
12.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.296 * [backup-simplify]: Simplify (+ 0 0) into 0
12.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.297 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) into 0
12.297 * [backup-simplify]: Simplify 0 into 0
12.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
12.298 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.299 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.300 * [backup-simplify]: Simplify (+ 0 0) into 0
12.301 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.301 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.303 * [backup-simplify]: Simplify (+ 0 0) into 0
12.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
12.304 * [backup-simplify]: Simplify (+ 0 0) into 0
12.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.305 * [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
12.305 * [taylor]: Taking taylor expansion of 0 in kx
12.305 * [backup-simplify]: Simplify 0 into 0
12.305 * [backup-simplify]: Simplify 0 into 0
12.305 * [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)))
12.305 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
12.305 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
12.305 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
12.305 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
12.305 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
12.305 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
12.305 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
12.305 * [taylor]: Taking taylor expansion of (sin ky) in kx
12.305 * [taylor]: Taking taylor expansion of ky in kx
12.305 * [backup-simplify]: Simplify ky into ky
12.305 * [backup-simplify]: Simplify (sin ky) into (sin ky)
12.305 * [backup-simplify]: Simplify (cos ky) into (cos ky)
12.305 * [taylor]: Taking taylor expansion of (sin ky) in kx
12.305 * [taylor]: Taking taylor expansion of ky in kx
12.305 * [backup-simplify]: Simplify ky into ky
12.305 * [backup-simplify]: Simplify (sin ky) into (sin ky)
12.305 * [backup-simplify]: Simplify (cos ky) into (cos ky)
12.305 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
12.305 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.305 * [taylor]: Taking taylor expansion of kx in kx
12.305 * [backup-simplify]: Simplify 0 into 0
12.305 * [backup-simplify]: Simplify 1 into 1
12.305 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.305 * [taylor]: Taking taylor expansion of kx in kx
12.305 * [backup-simplify]: Simplify 0 into 0
12.306 * [backup-simplify]: Simplify 1 into 1
12.306 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
12.306 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
12.306 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
12.306 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
12.306 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
12.306 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
12.306 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
12.306 * [backup-simplify]: Simplify (* 0 0) into 0
12.306 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
12.306 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
12.306 * [backup-simplify]: Simplify (+ 0) into 0
12.307 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
12.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.307 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
12.308 * [backup-simplify]: Simplify (+ 0 0) into 0
12.308 * [backup-simplify]: Simplify (+ 0) into 0
12.308 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
12.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.309 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
12.309 * [backup-simplify]: Simplify (+ 0 0) into 0
12.309 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
12.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.311 * [backup-simplify]: Simplify (+ 0 0) into 0
12.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
12.311 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
12.311 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
12.311 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
12.311 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
12.311 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.311 * [taylor]: Taking taylor expansion of ky in ky
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [backup-simplify]: Simplify 1 into 1
12.311 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.311 * [taylor]: Taking taylor expansion of ky in ky
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [backup-simplify]: Simplify 1 into 1
12.311 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
12.311 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.311 * [taylor]: Taking taylor expansion of kx in ky
12.311 * [backup-simplify]: Simplify kx into kx
12.311 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.311 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.311 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.311 * [taylor]: Taking taylor expansion of kx in ky
12.311 * [backup-simplify]: Simplify kx into kx
12.311 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.311 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.311 * [backup-simplify]: Simplify (* 0 0) into 0
12.311 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.312 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.312 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.312 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.312 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.312 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.312 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
12.312 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
12.312 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
12.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.313 * [backup-simplify]: Simplify (+ 0) into 0
12.314 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.314 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.315 * [backup-simplify]: Simplify (+ 0 0) into 0
12.315 * [backup-simplify]: Simplify (+ 0) into 0
12.315 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.316 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.316 * [backup-simplify]: Simplify (+ 0 0) into 0
12.316 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
12.316 * [backup-simplify]: Simplify (+ 0 0) into 0
12.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
12.316 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
12.316 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
12.317 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
12.317 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
12.317 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.317 * [taylor]: Taking taylor expansion of ky in ky
12.317 * [backup-simplify]: Simplify 0 into 0
12.317 * [backup-simplify]: Simplify 1 into 1
12.317 * [taylor]: Taking taylor expansion of (sin ky) in ky
12.317 * [taylor]: Taking taylor expansion of ky in ky
12.317 * [backup-simplify]: Simplify 0 into 0
12.317 * [backup-simplify]: Simplify 1 into 1
12.317 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
12.317 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.317 * [taylor]: Taking taylor expansion of kx in ky
12.317 * [backup-simplify]: Simplify kx into kx
12.317 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.317 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.317 * [taylor]: Taking taylor expansion of (sin kx) in ky
12.317 * [taylor]: Taking taylor expansion of kx in ky
12.317 * [backup-simplify]: Simplify kx into kx
12.317 * [backup-simplify]: Simplify (sin kx) into (sin kx)
12.317 * [backup-simplify]: Simplify (cos kx) into (cos kx)
12.317 * [backup-simplify]: Simplify (* 0 0) into 0
12.317 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.317 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.317 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.317 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
12.317 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
12.317 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
12.317 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
12.317 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
12.318 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
12.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.319 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.319 * [backup-simplify]: Simplify (+ 0) into 0
12.320 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.321 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.321 * [backup-simplify]: Simplify (+ 0 0) into 0
12.321 * [backup-simplify]: Simplify (+ 0) into 0
12.322 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
12.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.323 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
12.323 * [backup-simplify]: Simplify (+ 0 0) into 0
12.323 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
12.324 * [backup-simplify]: Simplify (+ 0 0) into 0
12.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
12.324 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.324 * [taylor]: Taking taylor expansion of kx in kx
12.324 * [backup-simplify]: Simplify 0 into 0
12.324 * [backup-simplify]: Simplify 1 into 1
12.324 * [backup-simplify]: Simplify 0 into 0
12.324 * [taylor]: Taking taylor expansion of 0 in kx
12.324 * [backup-simplify]: Simplify 0 into 0
12.324 * [backup-simplify]: Simplify 0 into 0
12.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.325 * [backup-simplify]: Simplify 1 into 1
12.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.326 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.328 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.329 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
12.330 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.330 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
12.331 * [backup-simplify]: Simplify (+ 0 0) into 0
12.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.333 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
12.333 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.334 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
12.334 * [backup-simplify]: Simplify (+ 0 0) into 0
12.335 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
12.337 * [backup-simplify]: Simplify (+ 1 0) into 1
12.338 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
12.338 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
12.338 * [taylor]: Taking taylor expansion of 1/2 in kx
12.338 * [backup-simplify]: Simplify 1/2 into 1/2
12.338 * [taylor]: Taking taylor expansion of (sin kx) in kx
12.338 * [taylor]: Taking taylor expansion of kx in kx
12.338 * [backup-simplify]: Simplify 0 into 0
12.338 * [backup-simplify]: Simplify 1 into 1
12.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
12.339 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.341 * [backup-simplify]: Simplify 0 into 0
12.341 * [backup-simplify]: Simplify 0 into 0
12.342 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.342 * [backup-simplify]: Simplify 0 into 0
12.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.346 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
12.347 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.347 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.349 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.350 * [backup-simplify]: Simplify (+ 0 0) into 0
12.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.351 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.354 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.355 * [backup-simplify]: Simplify (+ 0 0) into 0
12.355 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
12.356 * [backup-simplify]: Simplify (+ 0 0) into 0
12.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
12.356 * [taylor]: Taking taylor expansion of 0 in kx
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
12.359 * [backup-simplify]: Simplify 1/12 into 1/12
12.359 * [backup-simplify]: Simplify 0 into 0
12.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
12.361 * [backup-simplify]: Simplify -1/6 into -1/6
12.361 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* kx 1) 3)) (+ (* 1/12 (* kx (pow ky 2))) (* 1 (* kx 1)))) into (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
12.361 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
12.361 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
12.362 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
12.362 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
12.362 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
12.362 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
12.362 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.362 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.362 * [taylor]: Taking taylor expansion of ky in kx
12.362 * [backup-simplify]: Simplify ky into ky
12.362 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.362 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.362 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.362 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.362 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.362 * [taylor]: Taking taylor expansion of ky in kx
12.362 * [backup-simplify]: Simplify ky into ky
12.362 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.362 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.362 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.362 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
12.362 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
12.362 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
12.362 * [taylor]: Taking taylor expansion of kx in kx
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 1 into 1
12.363 * [backup-simplify]: Simplify (/ 1 1) into 1
12.363 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.363 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
12.363 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
12.363 * [taylor]: Taking taylor expansion of kx in kx
12.363 * [backup-simplify]: Simplify 0 into 0
12.363 * [backup-simplify]: Simplify 1 into 1
12.364 * [backup-simplify]: Simplify (/ 1 1) into 1
12.364 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.364 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.364 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.364 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.364 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.364 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.364 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.364 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.364 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.365 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.365 * [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)))
12.365 * [backup-simplify]: Simplify (+ 0) into 0
12.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.367 * [backup-simplify]: Simplify (+ 0 0) into 0
12.368 * [backup-simplify]: Simplify (+ 0) into 0
12.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.370 * [backup-simplify]: Simplify (+ 0 0) into 0
12.370 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.370 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.371 * [backup-simplify]: Simplify (+ 0 0) into 0
12.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.371 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
12.371 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
12.371 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
12.371 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
12.371 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.371 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.371 * [taylor]: Taking taylor expansion of ky in ky
12.371 * [backup-simplify]: Simplify 0 into 0
12.371 * [backup-simplify]: Simplify 1 into 1
12.372 * [backup-simplify]: Simplify (/ 1 1) into 1
12.372 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.372 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.372 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.372 * [taylor]: Taking taylor expansion of ky in ky
12.372 * [backup-simplify]: Simplify 0 into 0
12.372 * [backup-simplify]: Simplify 1 into 1
12.372 * [backup-simplify]: Simplify (/ 1 1) into 1
12.372 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.372 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
12.373 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.373 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.373 * [taylor]: Taking taylor expansion of kx in ky
12.373 * [backup-simplify]: Simplify kx into kx
12.373 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.373 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.373 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.373 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.373 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.373 * [taylor]: Taking taylor expansion of kx in ky
12.373 * [backup-simplify]: Simplify kx into kx
12.373 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.373 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.373 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.373 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.373 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.373 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.374 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.374 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.374 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.374 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.374 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.374 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.374 * [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)))
12.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.375 * [backup-simplify]: Simplify (+ 0) into 0
12.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.377 * [backup-simplify]: Simplify (+ 0 0) into 0
12.378 * [backup-simplify]: Simplify (+ 0) into 0
12.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.381 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
12.381 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
12.381 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
12.381 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
12.381 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.381 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.381 * [taylor]: Taking taylor expansion of ky in ky
12.381 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify 1 into 1
12.381 * [backup-simplify]: Simplify (/ 1 1) into 1
12.381 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.382 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
12.382 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
12.382 * [taylor]: Taking taylor expansion of ky in ky
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.382 * [backup-simplify]: Simplify (/ 1 1) into 1
12.382 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.382 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
12.382 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.382 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.382 * [taylor]: Taking taylor expansion of kx in ky
12.382 * [backup-simplify]: Simplify kx into kx
12.382 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.382 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.382 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.382 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
12.382 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
12.383 * [taylor]: Taking taylor expansion of kx in ky
12.383 * [backup-simplify]: Simplify kx into kx
12.383 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
12.383 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.383 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
12.383 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.383 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.383 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.383 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.383 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
12.383 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
12.383 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
12.384 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.384 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.384 * [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)))
12.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.385 * [backup-simplify]: Simplify (+ 0) into 0
12.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.387 * [backup-simplify]: Simplify (+ 0 0) into 0
12.387 * [backup-simplify]: Simplify (+ 0) into 0
12.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
12.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
12.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.389 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
12.390 * [backup-simplify]: Simplify (+ 0 0) into 0
12.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.390 * [backup-simplify]: Simplify (+ 0 0) into 0
12.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
12.391 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
12.391 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
12.391 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
12.391 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
12.391 * [taylor]: Taking taylor expansion of kx in kx
12.391 * [backup-simplify]: Simplify 0 into 0
12.391 * [backup-simplify]: Simplify 1 into 1
12.391 * [backup-simplify]: Simplify (/ 1 1) into 1
12.391 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
12.391 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
12.391 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
12.391 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
12.391 * [taylor]: Taking taylor expansion of ky in kx
12.391 * [backup-simplify]: Simplify ky into ky
12.391 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
12.392 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
12.392 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
12.392 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
12.392 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
12.392 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
12.392 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
12.392 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
12.392 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
12.393 * [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)))
12.393 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
12.393 * [backup-simplify]: Simplify (+ 0) into 0
12.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
12.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
12.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
12.395 * [backup-simplify]: Simplify (+ 0 0) into 0
12.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
12.396 * [backup-simplify]: Simplify (+ 0 0) into 0
12.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.396 * [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)))
12.396 * [taylor]: Taking taylor expansion of 0 in kx
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
12.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.400 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.400 * [backup-simplify]: Simplify (+ 0 0) into 0
12.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.403 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.404 * [backup-simplify]: Simplify (+ 0 0) into 0
12.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
12.405 * [backup-simplify]: Simplify (+ 0 0) into 0
12.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.406 * [taylor]: Taking taylor expansion of 0 in kx
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
12.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.410 * [backup-simplify]: Simplify (+ 0 0) into 0
12.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
12.411 * [backup-simplify]: Simplify (+ 0 0) into 0
12.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.412 * [backup-simplify]: Simplify 0 into 0
12.412 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
12.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.417 * [backup-simplify]: Simplify (+ 0 0) into 0
12.418 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.422 * [backup-simplify]: Simplify (+ 0 0) into 0
12.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
12.423 * [backup-simplify]: Simplify (+ 0 0) into 0
12.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
12.424 * [taylor]: Taking taylor expansion of 0 in kx
12.424 * [backup-simplify]: Simplify 0 into 0
12.424 * [backup-simplify]: Simplify 0 into 0
12.424 * [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)))
12.425 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
12.425 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
12.425 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
12.425 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.425 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
12.425 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
12.425 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.425 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.425 * [taylor]: Taking taylor expansion of -1 in kx
12.425 * [backup-simplify]: Simplify -1 into -1
12.425 * [taylor]: Taking taylor expansion of ky in kx
12.425 * [backup-simplify]: Simplify ky into ky
12.425 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.425 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.425 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.425 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.425 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.425 * [taylor]: Taking taylor expansion of -1 in kx
12.425 * [backup-simplify]: Simplify -1 into -1
12.425 * [taylor]: Taking taylor expansion of ky in kx
12.425 * [backup-simplify]: Simplify ky into ky
12.425 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.425 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.425 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.425 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
12.426 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.426 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.426 * [taylor]: Taking taylor expansion of -1 in kx
12.426 * [backup-simplify]: Simplify -1 into -1
12.426 * [taylor]: Taking taylor expansion of kx in kx
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify 1 into 1
12.426 * [backup-simplify]: Simplify (/ -1 1) into -1
12.426 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.426 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.426 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.426 * [taylor]: Taking taylor expansion of -1 in kx
12.426 * [backup-simplify]: Simplify -1 into -1
12.426 * [taylor]: Taking taylor expansion of kx in kx
12.426 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify 1 into 1
12.427 * [backup-simplify]: Simplify (/ -1 1) into -1
12.427 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.427 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.427 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.427 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.427 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.427 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.427 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.428 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.428 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.428 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.428 * [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)))
12.429 * [backup-simplify]: Simplify (+ 0) into 0
12.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.429 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.431 * [backup-simplify]: Simplify (+ 0 0) into 0
12.431 * [backup-simplify]: Simplify (+ 0) into 0
12.432 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.432 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.434 * [backup-simplify]: Simplify (+ 0 0) into 0
12.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.434 * [backup-simplify]: Simplify (+ 0 0) into 0
12.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.435 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
12.435 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.435 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
12.435 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
12.435 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.435 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.435 * [taylor]: Taking taylor expansion of -1 in ky
12.435 * [backup-simplify]: Simplify -1 into -1
12.435 * [taylor]: Taking taylor expansion of ky in ky
12.435 * [backup-simplify]: Simplify 0 into 0
12.435 * [backup-simplify]: Simplify 1 into 1
12.435 * [backup-simplify]: Simplify (/ -1 1) into -1
12.435 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.435 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.435 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.435 * [taylor]: Taking taylor expansion of -1 in ky
12.435 * [backup-simplify]: Simplify -1 into -1
12.435 * [taylor]: Taking taylor expansion of ky in ky
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify 1 into 1
12.436 * [backup-simplify]: Simplify (/ -1 1) into -1
12.436 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.436 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
12.436 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.436 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.436 * [taylor]: Taking taylor expansion of -1 in ky
12.436 * [backup-simplify]: Simplify -1 into -1
12.436 * [taylor]: Taking taylor expansion of kx in ky
12.436 * [backup-simplify]: Simplify kx into kx
12.436 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.437 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.437 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.437 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.437 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.437 * [taylor]: Taking taylor expansion of -1 in ky
12.437 * [backup-simplify]: Simplify -1 into -1
12.437 * [taylor]: Taking taylor expansion of kx in ky
12.437 * [backup-simplify]: Simplify kx into kx
12.437 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.437 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.437 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.437 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.438 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.438 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.438 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.438 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.438 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.438 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.438 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.438 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.439 * [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)))
12.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.439 * [backup-simplify]: Simplify (+ 0) into 0
12.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.440 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.441 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.441 * [backup-simplify]: Simplify (+ 0 0) into 0
12.442 * [backup-simplify]: Simplify (+ 0) into 0
12.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.442 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.444 * [backup-simplify]: Simplify (+ 0 0) into 0
12.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.444 * [backup-simplify]: Simplify (+ 0 0) into 0
12.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.445 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
12.445 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
12.445 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
12.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
12.445 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.445 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.445 * [taylor]: Taking taylor expansion of -1 in ky
12.445 * [backup-simplify]: Simplify -1 into -1
12.445 * [taylor]: Taking taylor expansion of ky in ky
12.445 * [backup-simplify]: Simplify 0 into 0
12.445 * [backup-simplify]: Simplify 1 into 1
12.445 * [backup-simplify]: Simplify (/ -1 1) into -1
12.445 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.445 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.445 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.445 * [taylor]: Taking taylor expansion of -1 in ky
12.445 * [backup-simplify]: Simplify -1 into -1
12.446 * [taylor]: Taking taylor expansion of ky in ky
12.446 * [backup-simplify]: Simplify 0 into 0
12.446 * [backup-simplify]: Simplify 1 into 1
12.446 * [backup-simplify]: Simplify (/ -1 1) into -1
12.446 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.446 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
12.446 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.446 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.446 * [taylor]: Taking taylor expansion of -1 in ky
12.446 * [backup-simplify]: Simplify -1 into -1
12.446 * [taylor]: Taking taylor expansion of kx in ky
12.446 * [backup-simplify]: Simplify kx into kx
12.446 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.447 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.447 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.447 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.447 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.447 * [taylor]: Taking taylor expansion of -1 in ky
12.447 * [backup-simplify]: Simplify -1 into -1
12.447 * [taylor]: Taking taylor expansion of kx in ky
12.447 * [backup-simplify]: Simplify kx into kx
12.447 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.447 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.447 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.447 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.447 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.447 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.447 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.447 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.448 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.448 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.448 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.448 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.448 * [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)))
12.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.449 * [backup-simplify]: Simplify (+ 0) into 0
12.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.449 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.451 * [backup-simplify]: Simplify (+ 0 0) into 0
12.451 * [backup-simplify]: Simplify (+ 0) into 0
12.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.452 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.453 * [backup-simplify]: Simplify (+ 0 0) into 0
12.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.454 * [backup-simplify]: Simplify (+ 0 0) into 0
12.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
12.454 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
12.454 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
12.454 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.454 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.455 * [taylor]: Taking taylor expansion of -1 in kx
12.455 * [backup-simplify]: Simplify -1 into -1
12.455 * [taylor]: Taking taylor expansion of kx in kx
12.455 * [backup-simplify]: Simplify 0 into 0
12.455 * [backup-simplify]: Simplify 1 into 1
12.455 * [backup-simplify]: Simplify (/ -1 1) into -1
12.455 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.455 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
12.455 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.455 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.455 * [taylor]: Taking taylor expansion of -1 in kx
12.455 * [backup-simplify]: Simplify -1 into -1
12.455 * [taylor]: Taking taylor expansion of ky in kx
12.455 * [backup-simplify]: Simplify ky into ky
12.455 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.455 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.456 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.456 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.456 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.456 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.456 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.456 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.456 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.456 * [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)))
12.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.457 * [backup-simplify]: Simplify (+ 0) into 0
12.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.458 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.459 * [backup-simplify]: Simplify (+ 0 0) into 0
12.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.460 * [backup-simplify]: Simplify (+ 0 0) into 0
12.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.460 * [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)))
12.460 * [taylor]: Taking taylor expansion of 0 in kx
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 0 into 0
12.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.463 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.464 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.465 * [backup-simplify]: Simplify (+ 0 0) into 0
12.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.466 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.467 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.468 * [backup-simplify]: Simplify (+ 0 0) into 0
12.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.469 * [backup-simplify]: Simplify (+ 0 0) into 0
12.470 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.470 * [taylor]: Taking taylor expansion of 0 in kx
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.472 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.472 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.474 * [backup-simplify]: Simplify (+ 0 0) into 0
12.475 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.475 * [backup-simplify]: Simplify (+ 0 0) into 0
12.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.476 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
12.478 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.479 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.484 * [backup-simplify]: Simplify (+ 0 0) into 0
12.485 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.486 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.489 * [backup-simplify]: Simplify (+ 0 0) into 0
12.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
12.490 * [backup-simplify]: Simplify (+ 0 0) into 0
12.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.491 * [taylor]: Taking taylor expansion of 0 in kx
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 0 into 0
12.492 * [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)))
12.492 * * * [progress]: simplifying candidates
12.492 * * * * [progress]: [ 1 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 2 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 3 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (pow (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) 1))>
12.492 * * * * [progress]: [ 4 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (exp (- (log (sin th)) (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))))>
12.492 * * * * [progress]: [ 5 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (exp (- (log (sin th)) (log (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 6 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 7 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 8 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (/ (* (* (sin th) (sin th)) (sin th)) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))))>
12.492 * * * * [progress]: [ 9 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 10 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 11 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.492 * * * * [progress]: [ 12 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.493 * * * * [progress]: [ 13 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (- (sin th)) (- (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.493 * * * * [progress]: [ 14 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.493 * * * * [progress]: [ 15 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.493 * * * * [progress]: [ 16 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.493 * * * * [progress]: [ 17 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.493 * * * * [progress]: [ 18 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.493 * * * * [progress]: [ 19 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.493 * * * * [progress]: [ 20 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.493 * * * * [progress]: [ 21 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.493 * * * * [progress]: [ 22 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
12.493 * * * * [progress]: [ 23 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (sqrt (sin ky)))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
12.493 * * * * [progress]: [ 24 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 1)) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.493 * * * * [progress]: [ 25 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.493 * * * * [progress]: [ 26 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx))) (/ (cbrt (sin th)) (/ 1 (sin ky)))))>
12.493 * * * * [progress]: [ 27 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.494 * * * * [progress]: [ 28 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.494 * * * * [progress]: [ 29 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.494 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.494 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.494 * * * * [progress]: [ 32 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.494 * * * * [progress]: [ 33 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.494 * * * * [progress]: [ 34 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.494 * * * * [progress]: [ 35 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
12.494 * * * * [progress]: [ 36 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ 1 (sqrt (sin ky)))) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
12.494 * * * * [progress]: [ 37 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.494 * * * * [progress]: [ 38 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) 1) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.494 * * * * [progress]: [ 39 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) (/ (sqrt (sin th)) (/ 1 (sin ky)))))>
12.494 * * * * [progress]: [ 40 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.494 * * * * [progress]: [ 41 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.495 * * * * [progress]: [ 42 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.495 * * * * [progress]: [ 43 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.495 * * * * [progress]: [ 44 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.495 * * * * [progress]: [ 45 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.495 * * * * [progress]: [ 46 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.495 * * * * [progress]: [ 47 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.495 * * * * [progress]: [ 48 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
12.495 * * * * [progress]: [ 49 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 (sqrt (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
12.495 * * * * [progress]: [ 50 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 1)) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.495 * * * * [progress]: [ 51 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 1) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.495 * * * * [progress]: [ 52 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (hypot (sin ky) (sin kx))) (/ (sin th) (/ 1 (sin ky)))))>
12.495 * * * * [progress]: [ 53 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.495 * * * * [progress]: [ 54 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.496 * * * * [progress]: [ 55 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))))>
12.496 * * * * [progress]: [ 56 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.496 * * * * [progress]: [ 57 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.496 * * * * [progress]: [ 58 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))>
12.496 * * * * [progress]: [ 59 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))>
12.496 * * * * [progress]: [ 60 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))>
12.496 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))>
12.496 * * * * [progress]: [ 62 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))>
12.496 * * * * [progress]: [ 63 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))>
12.496 * * * * [progress]: [ 64 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))>
12.496 * * * * [progress]: [ 65 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ 1 (sqrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))>
12.496 * * * * [progress]: [ 66 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ 1 1)) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
12.496 * * * * [progress]: [ 67 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
12.496 * * * * [progress]: [ 68 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (hypot (sin ky) (sin kx))) (/ 1 (sin ky))))>
12.497 * * * * [progress]: [ 69 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt (sin th)))))>
12.497 * * * * [progress]: [ 70 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sqrt (sin th)) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th)))))>
12.497 * * * * [progress]: [ 71 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))))>
12.497 * * * * [progress]: [ 72 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))>
12.497 * * * * [progress]: [ 73 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 74 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (log1p (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 75 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 76 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 1)))>
12.497 * * * * [progress]: [ 77 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (exp (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))))>
12.497 * * * * [progress]: [ 78 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (exp (log (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 79 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (log (exp (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 80 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (cbrt (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))))>
12.497 * * * * [progress]: [ 81 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 82 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (cbrt (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.497 * * * * [progress]: [ 83 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.498 * * * * [progress]: [ 84 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (- (hypot (sin ky) (sin kx))) (- (sin ky)))))>
12.498 * * * * [progress]: [ 85 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.498 * * * * [progress]: [ 86 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.498 * * * * [progress]: [ 87 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.498 * * * * [progress]: [ 88 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
12.498 * * * * [progress]: [ 89 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
12.498 * * * * [progress]: [ 90 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
12.498 * * * * [progress]: [ 91 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
12.498 * * * * [progress]: [ 92 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
12.498 * * * * [progress]: [ 93 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.498 * * * * [progress]: [ 94 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
12.498 * * * * [progress]: [ 95 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (hypot (sin ky) (sin kx)) (/ 1 (sin ky)))))>
12.498 * * * * [progress]: [ 96 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
12.498 * * * * [progress]: [ 97 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky)))))>
12.498 * * * * [progress]: [ 98 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) (sqrt (sin ky)))))>
12.499 * * * * [progress]: [ 99 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) 1) (sin ky))))>
12.499 * * * * [progress]: [ 100 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))))>
12.499 * * * * [progress]: [ 101 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))>
12.499 * * * * [progress]: [ 102 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
12.499 * * * * [progress]: [ 103 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
12.499 * * * * [progress]: [ 104 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (log1p (expm1 (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 105 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (expm1 (log1p (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 106 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 107 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (pow (hypot (sin ky) (sin kx)) 1) (sin ky))))>
12.499 * * * * [progress]: [ 108 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (exp (log (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 109 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (log (exp (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 110 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 111 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 112 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx)))) (sin ky))))>
12.499 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky))))>
12.499 * * * * [progress]: [ 114 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))>
12.500 * * * * [progress]: [ 115 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
12.500 * * * * [progress]: [ 116 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
12.500 * * * * [progress]: [ 117 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
12.500 * * * * [progress]: [ 118 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))))>
12.500 * * * * [progress]: [ 119 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))))>
12.500 * * * * [progress]: [ 120 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))))>
12.500 * * * * [progress]: [ 121 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))) (sin ky))))>
12.500 * * * * [progress]: [ 122 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky))))>
12.500 * * * * [progress]: [ 123 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky))))>
12.502 * [simplify]: Simplifying:
  (expm1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log1p (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- (log (sin th)) (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- (log (sin th)) (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (exp (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (* (sin th) (sin th)) (sin th)) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))
  (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- (sin th))
  (- (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (sqrt (sin ky))))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 1))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) 1)
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx)))
  (/ (cbrt (sin th)) (/ 1 (sin ky)))
  (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt (sin th)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (sqrt (sin th)) (/ 1 (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ 1 1))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt (sin th)) 1)
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))
  (/ (sqrt (sin th)) (/ 1 (sin ky)))
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 1)
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (sin th) (/ 1 (sin ky)))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))
  (/ (sin th) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ 1 (sqrt (sin ky))))
  (/ (sin th) (/ 1 1))
  (/ (sin th) 1)
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt (sin th)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))
  (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (hypot (sin ky) (sin kx)))
  (- (sin ky))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)
  (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) 1)
  (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ 1 1)
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) 1)
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
12.507 * * [simplify]: iteration 0: 203 enodes
12.565 * * [simplify]: iteration 1: 482 enodes
12.753 * * [simplify]: iteration 2: 1475 enodes
13.552 * * [simplify]: iteration complete: 5001 enodes
13.552 * * [simplify]: Extracting #0: cost 141 inf + 0
13.555 * * [simplify]: Extracting #1: cost 1134 inf + 1
13.568 * * [simplify]: Extracting #2: cost 1601 inf + 20188
13.623 * * [simplify]: Extracting #3: cost 753 inf + 249202
13.727 * * [simplify]: Extracting #4: cost 112 inf + 478165
13.827 * * [simplify]: Extracting #5: cost 5 inf + 518617
13.930 * * [simplify]: Extracting #6: cost 0 inf + 520183
14.074 * [simplify]: Simplified to:
  (expm1 (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log1p (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (exp (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (* (cbrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))) (cbrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (cbrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (sqrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (sqrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (- (sin th))
  (- (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (* (sqrt (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))))
  (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (* (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) (cbrt (sin ky))) (cbrt (sin ky)))
  (* (cbrt (sin ky)) (/ (cbrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))))
  (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (* (/ (cbrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (cbrt (sin ky)) (/ (cbrt (sin th)) (hypot (sin ky) (sin kx))))
  (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky)))
  (* (cbrt (sin th)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (/ (* (cbrt (sin th)) (sin ky)) (hypot (sin ky) (sin kx)))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (/ (* (cbrt (sin th)) (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx)))
  (* (sin ky) (cbrt (sin th)))
  (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (* (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (/ (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (* (sqrt (sin th)) (sqrt (sin ky)))
  (* (sqrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))))
  (sqrt (sin th))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (sin th))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))
  (* (sin ky) (sqrt (sin th)))
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (/ (sin th) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (* (sin th) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (/ (sin th) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ 1 (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (* (sin th) (cbrt (sin ky))) (hypot (sin ky) (sin kx)))
  (sqrt (sin ky))
  (* (sqrt (sin ky)) (/ (sin th) (hypot (sin ky) (sin kx))))
  1
  (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
  1
  (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
  (/ 1 (hypot (sin ky) (sin kx)))
  (* (sin th) (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (sin th) (sin ky)))
  (/ (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (/ (sin th) (* (cbrt (hypot (sin ky) (sin kx))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (/ (sin th) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (* (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (/ (sin th) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (sin th) (sqrt (hypot (sin ky) (sin kx))))
  (* (sin th) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (sin th) (sqrt (sin ky)))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (/ (/ (hypot (sin ky) (sin kx)) (cbrt (sin th))) (sin ky))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th)))
  (/ (hypot (sin ky) (sin kx)) (* (sin th) (sin ky)))
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (real->posit16 (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (hypot (sin ky) (sin kx)))
  (- (sin ky))
  (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (sqrt (hypot (sin ky) (sin kx)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  1
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (hypot (sin ky) (sin kx))
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (hypot (sin ky) (sin kx)) (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (* kx (* (* th ky) 1/6))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))))))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))))))
  (fma (/ kx (/ (/ ky kx) kx)) -1/6 (fma (* kx ky) 1/4 (/ kx ky)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (fma -1/6 (* (* kx kx) kx) (fma (* ky (* ky kx)) 1/12 kx))
  (hypot (sin ky) (sin kx))
  (hypot (sin ky) (sin kx))
14.089 * * * [progress]: adding candidates to table
14.939 * * [progress]: iteration 4 / 4
14.939 * * * [progress]: picking best candidate
15.067 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))>
15.067 * * * [progress]: localizing error
15.116 * * * [progress]: generating rewritten candidates
15.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
15.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
15.124 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
15.137 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
15.138 * * * [progress]: generating series expansions
15.138 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
15.138 * [backup-simplify]: Simplify (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) into (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
15.138 * [approximate]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in (ky kx) around 0
15.138 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.138 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.138 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.138 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
15.139 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.139 * [taylor]: Taking taylor expansion of ky in kx
15.139 * [backup-simplify]: Simplify ky into ky
15.139 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.139 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.139 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.139 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.139 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.139 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.139 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.139 * [taylor]: Taking taylor expansion of kx in kx
15.139 * [backup-simplify]: Simplify 0 into 0
15.139 * [backup-simplify]: Simplify 1 into 1
15.139 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.139 * [taylor]: Taking taylor expansion of kx in kx
15.139 * [backup-simplify]: Simplify 0 into 0
15.139 * [backup-simplify]: Simplify 1 into 1
15.139 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.139 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.139 * [taylor]: Taking taylor expansion of ky in kx
15.139 * [backup-simplify]: Simplify ky into ky
15.139 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.139 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.139 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.139 * [taylor]: Taking taylor expansion of ky in kx
15.139 * [backup-simplify]: Simplify ky into ky
15.139 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.139 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.140 * [backup-simplify]: Simplify (* 0 0) into 0
15.140 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.140 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.140 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.140 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.140 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.140 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.140 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.140 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.140 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.141 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.141 * [backup-simplify]: Simplify (+ 0) into 0
15.142 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.142 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.143 * [backup-simplify]: Simplify (+ 0 0) into 0
15.143 * [backup-simplify]: Simplify (+ 0) into 0
15.144 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.145 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.145 * [backup-simplify]: Simplify (+ 0 0) into 0
15.145 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.146 * [backup-simplify]: Simplify (+ 0 0) into 0
15.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.146 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.146 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.146 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.146 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
15.146 * [backup-simplify]: Simplify (exp 1) into E
15.146 * [taylor]: Taking taylor expansion of 1 in kx
15.146 * [backup-simplify]: Simplify 1 into 1
15.146 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.146 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.146 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.146 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.146 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.146 * [taylor]: Taking taylor expansion of ky in ky
15.146 * [backup-simplify]: Simplify 0 into 0
15.147 * [backup-simplify]: Simplify 1 into 1
15.147 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.147 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.147 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.147 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.147 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.147 * [taylor]: Taking taylor expansion of kx in ky
15.147 * [backup-simplify]: Simplify kx into kx
15.147 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.147 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.147 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.147 * [taylor]: Taking taylor expansion of kx in ky
15.147 * [backup-simplify]: Simplify kx into kx
15.147 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.147 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.147 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.147 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.147 * [taylor]: Taking taylor expansion of ky in ky
15.147 * [backup-simplify]: Simplify 0 into 0
15.147 * [backup-simplify]: Simplify 1 into 1
15.147 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.147 * [taylor]: Taking taylor expansion of ky in ky
15.147 * [backup-simplify]: Simplify 0 into 0
15.147 * [backup-simplify]: Simplify 1 into 1
15.147 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.147 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.147 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.147 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.148 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.148 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.148 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.148 * [backup-simplify]: Simplify (* 0 0) into 0
15.148 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.148 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.149 * [backup-simplify]: Simplify (+ 0) into 0
15.149 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.150 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.151 * [backup-simplify]: Simplify (+ 0 0) into 0
15.151 * [backup-simplify]: Simplify (+ 0) into 0
15.152 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.153 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.153 * [backup-simplify]: Simplify (+ 0 0) into 0
15.153 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.155 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.156 * [backup-simplify]: Simplify (+ 0 0) into 0
15.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.157 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.157 * [backup-simplify]: Simplify (exp 0) into 1
15.157 * [taylor]: Taking taylor expansion of 1 in ky
15.157 * [backup-simplify]: Simplify 1 into 1
15.157 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.157 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.157 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.157 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.157 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.157 * [taylor]: Taking taylor expansion of ky in ky
15.157 * [backup-simplify]: Simplify 0 into 0
15.157 * [backup-simplify]: Simplify 1 into 1
15.157 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.157 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.157 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.157 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.157 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.157 * [taylor]: Taking taylor expansion of kx in ky
15.157 * [backup-simplify]: Simplify kx into kx
15.157 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.157 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.157 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.157 * [taylor]: Taking taylor expansion of kx in ky
15.157 * [backup-simplify]: Simplify kx into kx
15.157 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.157 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.157 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.157 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.158 * [taylor]: Taking taylor expansion of ky in ky
15.158 * [backup-simplify]: Simplify 0 into 0
15.158 * [backup-simplify]: Simplify 1 into 1
15.158 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.158 * [taylor]: Taking taylor expansion of ky in ky
15.158 * [backup-simplify]: Simplify 0 into 0
15.158 * [backup-simplify]: Simplify 1 into 1
15.158 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.158 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.158 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.158 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.158 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.158 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.159 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.160 * [backup-simplify]: Simplify (* 0 0) into 0
15.160 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.160 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.160 * [backup-simplify]: Simplify (+ 0) into 0
15.161 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.162 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.162 * [backup-simplify]: Simplify (+ 0 0) into 0
15.163 * [backup-simplify]: Simplify (+ 0) into 0
15.163 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.165 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.165 * [backup-simplify]: Simplify (+ 0 0) into 0
15.165 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.168 * [backup-simplify]: Simplify (+ 0 0) into 0
15.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.169 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.169 * [backup-simplify]: Simplify (exp 0) into 1
15.169 * [taylor]: Taking taylor expansion of 1 in ky
15.169 * [backup-simplify]: Simplify 1 into 1
15.169 * [backup-simplify]: Simplify (- 1) into -1
15.170 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.170 * [taylor]: Taking taylor expansion of 0 in kx
15.170 * [backup-simplify]: Simplify 0 into 0
15.170 * [backup-simplify]: Simplify 0 into 0
15.170 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 1) 1)))) into (/ 1 (sin kx))
15.171 * [backup-simplify]: Simplify (- 0) into 0
15.171 * [backup-simplify]: Simplify (+ (/ 1 (sin kx)) 0) into (/ 1 (sin kx))
15.171 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.171 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.171 * [taylor]: Taking taylor expansion of kx in kx
15.171 * [backup-simplify]: Simplify 0 into 0
15.171 * [backup-simplify]: Simplify 1 into 1
15.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.172 * [backup-simplify]: Simplify (/ 1 1) into 1
15.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.174 * [backup-simplify]: Simplify 0 into 0
15.174 * [backup-simplify]: Simplify 0 into 0
15.175 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.175 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
15.176 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (sin kx) 2))
15.176 * [backup-simplify]: Simplify (- 0) into 0
15.176 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sin kx) 2)) 0) into (* 1/2 (/ 1 (pow (sin kx) 2)))
15.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 2))) in kx
15.176 * [taylor]: Taking taylor expansion of 1/2 in kx
15.176 * [backup-simplify]: Simplify 1/2 into 1/2
15.176 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.176 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.176 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.176 * [taylor]: Taking taylor expansion of kx in kx
15.176 * [backup-simplify]: Simplify 0 into 0
15.176 * [backup-simplify]: Simplify 1 into 1
15.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.178 * [backup-simplify]: Simplify (* 1 1) into 1
15.178 * [backup-simplify]: Simplify (/ 1 1) into 1
15.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.181 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.185 * [backup-simplify]: Simplify (+ (* 1/2 1/3) (+ (* 0 0) (* 0 1))) into 1/6
15.185 * [backup-simplify]: Simplify 1/6 into 1/6
15.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.188 * [backup-simplify]: Simplify 1/6 into 1/6
15.188 * [backup-simplify]: Simplify 0 into 0
15.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.192 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.193 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.193 * [backup-simplify]: Simplify (+ 0 0) into 0
15.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.195 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.196 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.197 * [backup-simplify]: Simplify (+ 0 0) into 0
15.197 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.200 * [backup-simplify]: Simplify (+ 0 1) into 1
15.201 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.201 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
15.203 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 3) 6)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)))) into (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
15.203 * [backup-simplify]: Simplify (- 0) into 0
15.204 * [backup-simplify]: Simplify (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3))))) 0) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
15.204 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3))))) in kx
15.204 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))) in kx
15.204 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
15.204 * [taylor]: Taking taylor expansion of 1/6 in kx
15.204 * [backup-simplify]: Simplify 1/6 into 1/6
15.204 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.204 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.204 * [taylor]: Taking taylor expansion of kx in kx
15.204 * [backup-simplify]: Simplify 0 into 0
15.204 * [backup-simplify]: Simplify 1 into 1
15.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.205 * [backup-simplify]: Simplify (/ 1 1) into 1
15.205 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow (sin kx) 3))) in kx
15.205 * [taylor]: Taking taylor expansion of 1/3 in kx
15.205 * [backup-simplify]: Simplify 1/3 into 1/3
15.205 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
15.205 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
15.205 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.205 * [taylor]: Taking taylor expansion of kx in kx
15.205 * [backup-simplify]: Simplify 0 into 0
15.205 * [backup-simplify]: Simplify 1 into 1
15.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.206 * [backup-simplify]: Simplify (* 1 1) into 1
15.207 * [backup-simplify]: Simplify (* 1 1) into 1
15.207 * [backup-simplify]: Simplify (/ 1 1) into 1
15.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.210 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
15.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
15.216 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
15.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.221 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
15.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
15.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
15.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
15.225 * [backup-simplify]: Simplify (+ 0 0) into 0
15.226 * [backup-simplify]: Simplify (- 0) into 0
15.226 * [backup-simplify]: Simplify 0 into 0
15.227 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
15.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/3 1)) (* 1/3 (/ 0 1)))) into 0
15.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 1)))) into 0
15.232 * [backup-simplify]: Simplify 0 into 0
15.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
15.235 * [backup-simplify]: Simplify 0 into 0
15.235 * [backup-simplify]: Simplify 0 into 0
15.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.238 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.241 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.241 * [backup-simplify]: Simplify (+ 0 0) into 0
15.242 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.243 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.246 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.246 * [backup-simplify]: Simplify (+ 0 0) into 0
15.247 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
15.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.252 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
15.252 * [backup-simplify]: Simplify (+ 0 0) into 0
15.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
15.253 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 0 (sin kx))))) into 0
15.256 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 4) 24)) (* (/ (pow (/ 1 (sin kx)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
15.256 * [backup-simplify]: Simplify (- 0) into 0
15.257 * [backup-simplify]: Simplify (+ (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2))))) 0) into (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
15.257 * [taylor]: Taking taylor expansion of (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2))))) in kx
15.257 * [taylor]: Taking taylor expansion of (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))) in kx
15.257 * [taylor]: Taking taylor expansion of (* 11/24 (/ 1 (pow (sin kx) 4))) in kx
15.257 * [taylor]: Taking taylor expansion of 11/24 in kx
15.257 * [backup-simplify]: Simplify 11/24 into 11/24
15.257 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 4)) in kx
15.257 * [taylor]: Taking taylor expansion of (pow (sin kx) 4) in kx
15.257 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.257 * [taylor]: Taking taylor expansion of kx in kx
15.257 * [backup-simplify]: Simplify 0 into 0
15.257 * [backup-simplify]: Simplify 1 into 1
15.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.258 * [backup-simplify]: Simplify (* 1 1) into 1
15.259 * [backup-simplify]: Simplify (* 1 1) into 1
15.259 * [backup-simplify]: Simplify (/ 1 1) into 1
15.259 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
15.259 * [taylor]: Taking taylor expansion of 1/6 in kx
15.259 * [backup-simplify]: Simplify 1/6 into 1/6
15.259 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.259 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.259 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.259 * [taylor]: Taking taylor expansion of kx in kx
15.259 * [backup-simplify]: Simplify 0 into 0
15.259 * [backup-simplify]: Simplify 1 into 1
15.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.260 * [backup-simplify]: Simplify (* 1 1) into 1
15.261 * [backup-simplify]: Simplify (/ 1 1) into 1
15.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
15.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.267 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.270 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
15.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
15.272 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.273 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/3 -1/3) (+ (* 0 0) (* 2/45 1))))) into 1/5
15.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/3 0) (* 0 1)))) into 0
15.278 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/3 1))) into -2/3
15.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ -2/3 1)) (* 0 (/ 0 1)))) into 2/3
15.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -2/3 1)) (* 2/3 (/ 0 1)))) into 0
15.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/5 1)) (* 0 (/ 0 1)) (* 2/3 (/ -2/3 1)) (* 0 (/ 0 1)))) into 11/45
15.282 * [backup-simplify]: Simplify (+ (* 11/24 11/45) (+ (* 0 0) (+ (* 0 2/3) (+ (* 0 0) (* 0 1))))) into 121/1080
15.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.283 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.284 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.286 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
15.286 * [backup-simplify]: Simplify (+ 121/1080 1/18) into 181/1080
15.286 * [backup-simplify]: Simplify (- 181/1080) into -181/1080
15.286 * [backup-simplify]: Simplify -181/1080 into -181/1080
15.287 * [backup-simplify]: Simplify (+ (* -181/1080 (pow (* 1 ky) 4)) (+ (* 1/6 (* kx ky)) (* 1/6 (pow (* 1 ky) 2)))) into (- (+ (* 1/6 (pow ky 2)) (* 1/6 (* kx ky))) (* 181/1080 (pow ky 4)))
15.287 * [backup-simplify]: Simplify (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) into (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))
15.287 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in (ky kx) around 0
15.287 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
15.287 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.287 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
15.287 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
15.287 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.287 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.287 * [taylor]: Taking taylor expansion of ky in kx
15.287 * [backup-simplify]: Simplify ky into ky
15.287 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.287 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.287 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.287 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
15.287 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.287 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
15.287 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.287 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.287 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.287 * [taylor]: Taking taylor expansion of kx in kx
15.287 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify 1 into 1
15.288 * [backup-simplify]: Simplify (/ 1 1) into 1
15.288 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.288 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.288 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.288 * [taylor]: Taking taylor expansion of kx in kx
15.288 * [backup-simplify]: Simplify 0 into 0
15.288 * [backup-simplify]: Simplify 1 into 1
15.288 * [backup-simplify]: Simplify (/ 1 1) into 1
15.288 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.288 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.288 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.288 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.288 * [taylor]: Taking taylor expansion of ky in kx
15.288 * [backup-simplify]: Simplify ky into ky
15.288 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.288 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.288 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.288 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.288 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.288 * [taylor]: Taking taylor expansion of ky in kx
15.288 * [backup-simplify]: Simplify ky into ky
15.288 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.289 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.289 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.289 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.289 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.289 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.289 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.289 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.289 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.289 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.289 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.289 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.289 * [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)))
15.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.290 * [backup-simplify]: Simplify (+ 0) into 0
15.290 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.291 * [backup-simplify]: Simplify (+ 0 0) into 0
15.291 * [backup-simplify]: Simplify (+ 0) into 0
15.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.293 * [backup-simplify]: Simplify (+ 0 0) into 0
15.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.293 * [backup-simplify]: Simplify (+ 0 0) into 0
15.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.293 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.293 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.293 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.294 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.294 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.294 * [taylor]: Taking taylor expansion of 1 in kx
15.294 * [backup-simplify]: Simplify 1 into 1
15.294 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.294 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.294 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.294 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.294 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.294 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.294 * [taylor]: Taking taylor expansion of ky in ky
15.294 * [backup-simplify]: Simplify 0 into 0
15.294 * [backup-simplify]: Simplify 1 into 1
15.294 * [backup-simplify]: Simplify (/ 1 1) into 1
15.294 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.294 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.294 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.294 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.294 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.294 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.294 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.294 * [taylor]: Taking taylor expansion of kx in ky
15.294 * [backup-simplify]: Simplify kx into kx
15.294 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.294 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.295 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.295 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.295 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.295 * [taylor]: Taking taylor expansion of kx in ky
15.295 * [backup-simplify]: Simplify kx into kx
15.295 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.295 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.295 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.295 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.295 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.295 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.295 * [taylor]: Taking taylor expansion of ky in ky
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [backup-simplify]: Simplify 1 into 1
15.295 * [backup-simplify]: Simplify (/ 1 1) into 1
15.295 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.295 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.295 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.295 * [taylor]: Taking taylor expansion of ky in ky
15.295 * [backup-simplify]: Simplify 0 into 0
15.295 * [backup-simplify]: Simplify 1 into 1
15.295 * [backup-simplify]: Simplify (/ 1 1) into 1
15.296 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.296 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.296 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.296 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.296 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.296 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.296 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.296 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.296 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.296 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.296 * [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)))
15.296 * [backup-simplify]: Simplify (+ 0) into 0
15.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.298 * [backup-simplify]: Simplify (+ 0 0) into 0
15.298 * [backup-simplify]: Simplify (+ 0) into 0
15.298 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.300 * [backup-simplify]: Simplify (+ 0 0) into 0
15.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.301 * [backup-simplify]: Simplify (+ 0 0) into 0
15.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.301 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.302 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.302 * [taylor]: Taking taylor expansion of 1 in ky
15.302 * [backup-simplify]: Simplify 1 into 1
15.302 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.302 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.302 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.302 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.302 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.302 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.302 * [taylor]: Taking taylor expansion of ky in ky
15.302 * [backup-simplify]: Simplify 0 into 0
15.302 * [backup-simplify]: Simplify 1 into 1
15.302 * [backup-simplify]: Simplify (/ 1 1) into 1
15.303 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.303 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.303 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.303 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.303 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.303 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.303 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.303 * [taylor]: Taking taylor expansion of kx in ky
15.303 * [backup-simplify]: Simplify kx into kx
15.303 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.303 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.303 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.303 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.303 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.303 * [taylor]: Taking taylor expansion of kx in ky
15.303 * [backup-simplify]: Simplify kx into kx
15.303 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.303 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.303 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.303 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.303 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.303 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.303 * [taylor]: Taking taylor expansion of ky in ky
15.303 * [backup-simplify]: Simplify 0 into 0
15.304 * [backup-simplify]: Simplify 1 into 1
15.304 * [backup-simplify]: Simplify (/ 1 1) into 1
15.304 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.304 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.304 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.304 * [taylor]: Taking taylor expansion of ky in ky
15.304 * [backup-simplify]: Simplify 0 into 0
15.304 * [backup-simplify]: Simplify 1 into 1
15.305 * [backup-simplify]: Simplify (/ 1 1) into 1
15.305 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.305 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.305 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.305 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.305 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.305 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.305 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.305 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.305 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.306 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.306 * [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)))
15.306 * [backup-simplify]: Simplify (+ 0) into 0
15.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.309 * [backup-simplify]: Simplify (+ 0 0) into 0
15.309 * [backup-simplify]: Simplify (+ 0) into 0
15.309 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.311 * [backup-simplify]: Simplify (+ 0 0) into 0
15.311 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.312 * [backup-simplify]: Simplify (+ 0 0) into 0
15.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.312 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.313 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.313 * [taylor]: Taking taylor expansion of 1 in ky
15.313 * [backup-simplify]: Simplify 1 into 1
15.313 * [backup-simplify]: Simplify (- 1) into -1
15.314 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.314 * [taylor]: Taking taylor expansion of (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1) in kx
15.314 * [taylor]: Taking taylor expansion of (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
15.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
15.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.314 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.314 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.314 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.314 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.314 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.314 * [taylor]: Taking taylor expansion of kx in kx
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [backup-simplify]: Simplify 1 into 1
15.315 * [backup-simplify]: Simplify (/ 1 1) into 1
15.315 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.315 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.315 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.315 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.315 * [taylor]: Taking taylor expansion of ky in kx
15.315 * [backup-simplify]: Simplify ky into ky
15.315 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.315 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.315 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.315 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.315 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.315 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.316 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.316 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.316 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.316 * [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)))
15.316 * [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))))
15.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.317 * [backup-simplify]: Simplify (+ 0) into 0
15.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.319 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.319 * [backup-simplify]: Simplify (+ 0 0) into 0
15.319 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.320 * [backup-simplify]: Simplify (+ 0 0) into 0
15.320 * [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
15.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.321 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.321 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.321 * [taylor]: Taking taylor expansion of ky in kx
15.321 * [backup-simplify]: Simplify ky into ky
15.321 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.321 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.321 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.321 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.321 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.321 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.322 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.322 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.322 * [taylor]: Taking taylor expansion of 1 in kx
15.322 * [backup-simplify]: Simplify 1 into 1
15.323 * [backup-simplify]: Simplify (- 1) into -1
15.323 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.323 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.324 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.325 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.326 * [backup-simplify]: Simplify (- 0) into 0
15.326 * [backup-simplify]: Simplify (+ 0 0) into 0
15.326 * [taylor]: Taking taylor expansion of 0 in kx
15.326 * [backup-simplify]: Simplify 0 into 0
15.326 * [backup-simplify]: Simplify 0 into 0
15.327 * [backup-simplify]: Simplify (+ 0) into 0
15.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.329 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.329 * [backup-simplify]: Simplify (+ 0 0) into 0
15.330 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
15.331 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.331 * [backup-simplify]: Simplify (- 0) into 0
15.332 * [backup-simplify]: Simplify (+ 0 0) into 0
15.332 * [backup-simplify]: Simplify 0 into 0
15.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.333 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.335 * [backup-simplify]: Simplify (+ 0 0) into 0
15.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.339 * [backup-simplify]: Simplify (+ 0 0) into 0
15.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.340 * [backup-simplify]: Simplify (+ 0 0) into 0
15.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.342 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.344 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.344 * [backup-simplify]: Simplify (- 0) into 0
15.345 * [backup-simplify]: Simplify (+ 0 0) into 0
15.345 * [taylor]: Taking taylor expansion of 0 in kx
15.345 * [backup-simplify]: Simplify 0 into 0
15.345 * [backup-simplify]: Simplify 0 into 0
15.345 * [backup-simplify]: Simplify 0 into 0
15.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.348 * [backup-simplify]: Simplify (+ 0 0) into 0
15.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.351 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.352 * [backup-simplify]: Simplify (+ 0 0) into 0
15.353 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.353 * [backup-simplify]: Simplify (+ 0 0) into 0
15.354 * [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
15.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.356 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.358 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.358 * [backup-simplify]: Simplify (- 0) into 0
15.358 * [backup-simplify]: Simplify (+ 0 0) into 0
15.358 * [backup-simplify]: Simplify 0 into 0
15.359 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.361 * [backup-simplify]: Simplify (+ 0 0) into 0
15.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.364 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.364 * [backup-simplify]: Simplify (+ 0 0) into 0
15.365 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
15.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
15.366 * [backup-simplify]: Simplify (+ 0 0) into 0
15.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.367 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 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
15.368 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.368 * [backup-simplify]: Simplify (- 0) into 0
15.369 * [backup-simplify]: Simplify (+ 0 0) into 0
15.369 * [taylor]: Taking taylor expansion of 0 in kx
15.369 * [backup-simplify]: Simplify 0 into 0
15.369 * [backup-simplify]: Simplify 0 into 0
15.369 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky))))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
15.369 * [backup-simplify]: Simplify (expm1 (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))))) into (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))
15.369 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in (ky kx) around 0
15.369 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
15.369 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.369 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
15.369 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
15.369 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.369 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.369 * [taylor]: Taking taylor expansion of -1 in kx
15.369 * [backup-simplify]: Simplify -1 into -1
15.369 * [taylor]: Taking taylor expansion of ky in kx
15.369 * [backup-simplify]: Simplify ky into ky
15.369 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.369 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.369 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.369 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
15.369 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.369 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
15.369 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.370 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.370 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.370 * [taylor]: Taking taylor expansion of -1 in kx
15.370 * [backup-simplify]: Simplify -1 into -1
15.370 * [taylor]: Taking taylor expansion of kx in kx
15.370 * [backup-simplify]: Simplify 0 into 0
15.370 * [backup-simplify]: Simplify 1 into 1
15.370 * [backup-simplify]: Simplify (/ -1 1) into -1
15.370 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.370 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.370 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.370 * [taylor]: Taking taylor expansion of -1 in kx
15.370 * [backup-simplify]: Simplify -1 into -1
15.370 * [taylor]: Taking taylor expansion of kx in kx
15.370 * [backup-simplify]: Simplify 0 into 0
15.370 * [backup-simplify]: Simplify 1 into 1
15.370 * [backup-simplify]: Simplify (/ -1 1) into -1
15.370 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.370 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.370 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.370 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.370 * [taylor]: Taking taylor expansion of -1 in kx
15.370 * [backup-simplify]: Simplify -1 into -1
15.370 * [taylor]: Taking taylor expansion of ky in kx
15.370 * [backup-simplify]: Simplify ky into ky
15.371 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.371 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.371 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.371 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.371 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.371 * [taylor]: Taking taylor expansion of -1 in kx
15.371 * [backup-simplify]: Simplify -1 into -1
15.371 * [taylor]: Taking taylor expansion of ky in kx
15.371 * [backup-simplify]: Simplify ky into ky
15.371 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.371 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.371 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.371 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.371 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.371 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.371 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.371 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.371 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.371 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.371 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.371 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.372 * [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)))
15.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.372 * [backup-simplify]: Simplify (+ 0) into 0
15.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.372 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.373 * [backup-simplify]: Simplify (+ 0 0) into 0
15.373 * [backup-simplify]: Simplify (+ 0) into 0
15.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.374 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.375 * [backup-simplify]: Simplify (+ 0 0) into 0
15.375 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.375 * [backup-simplify]: Simplify (+ 0 0) into 0
15.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.375 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.375 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.376 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.376 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.376 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.376 * [taylor]: Taking taylor expansion of 1 in kx
15.376 * [backup-simplify]: Simplify 1 into 1
15.376 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.376 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.376 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.376 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.376 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.376 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.376 * [taylor]: Taking taylor expansion of -1 in ky
15.376 * [backup-simplify]: Simplify -1 into -1
15.376 * [taylor]: Taking taylor expansion of ky in ky
15.376 * [backup-simplify]: Simplify 0 into 0
15.376 * [backup-simplify]: Simplify 1 into 1
15.376 * [backup-simplify]: Simplify (/ -1 1) into -1
15.376 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.377 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.377 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.377 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.377 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.377 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.377 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.377 * [taylor]: Taking taylor expansion of -1 in ky
15.377 * [backup-simplify]: Simplify -1 into -1
15.377 * [taylor]: Taking taylor expansion of kx in ky
15.377 * [backup-simplify]: Simplify kx into kx
15.377 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.377 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.377 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.377 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.377 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.377 * [taylor]: Taking taylor expansion of -1 in ky
15.377 * [backup-simplify]: Simplify -1 into -1
15.377 * [taylor]: Taking taylor expansion of kx in ky
15.377 * [backup-simplify]: Simplify kx into kx
15.377 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.377 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.377 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.377 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.377 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.377 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.377 * [taylor]: Taking taylor expansion of -1 in ky
15.377 * [backup-simplify]: Simplify -1 into -1
15.377 * [taylor]: Taking taylor expansion of ky in ky
15.377 * [backup-simplify]: Simplify 0 into 0
15.377 * [backup-simplify]: Simplify 1 into 1
15.377 * [backup-simplify]: Simplify (/ -1 1) into -1
15.377 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.377 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.377 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.378 * [taylor]: Taking taylor expansion of -1 in ky
15.378 * [backup-simplify]: Simplify -1 into -1
15.378 * [taylor]: Taking taylor expansion of ky in ky
15.378 * [backup-simplify]: Simplify 0 into 0
15.378 * [backup-simplify]: Simplify 1 into 1
15.378 * [backup-simplify]: Simplify (/ -1 1) into -1
15.378 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.378 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.378 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.378 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.378 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.378 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.378 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.378 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.378 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.378 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.379 * [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)))
15.379 * [backup-simplify]: Simplify (+ 0) into 0
15.379 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.379 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.380 * [backup-simplify]: Simplify (+ 0 0) into 0
15.380 * [backup-simplify]: Simplify (+ 0) into 0
15.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.381 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.382 * [backup-simplify]: Simplify (+ 0 0) into 0
15.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.382 * [backup-simplify]: Simplify (+ 0 0) into 0
15.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.383 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.383 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.383 * [taylor]: Taking taylor expansion of 1 in ky
15.383 * [backup-simplify]: Simplify 1 into 1
15.383 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.383 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.383 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.383 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.383 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.383 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.383 * [taylor]: Taking taylor expansion of -1 in ky
15.383 * [backup-simplify]: Simplify -1 into -1
15.383 * [taylor]: Taking taylor expansion of ky in ky
15.383 * [backup-simplify]: Simplify 0 into 0
15.383 * [backup-simplify]: Simplify 1 into 1
15.383 * [backup-simplify]: Simplify (/ -1 1) into -1
15.383 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.383 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.383 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.383 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.383 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.384 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.384 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.384 * [taylor]: Taking taylor expansion of -1 in ky
15.384 * [backup-simplify]: Simplify -1 into -1
15.384 * [taylor]: Taking taylor expansion of kx in ky
15.384 * [backup-simplify]: Simplify kx into kx
15.384 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.384 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.384 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.384 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.384 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.384 * [taylor]: Taking taylor expansion of -1 in ky
15.384 * [backup-simplify]: Simplify -1 into -1
15.384 * [taylor]: Taking taylor expansion of kx in ky
15.384 * [backup-simplify]: Simplify kx into kx
15.384 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.384 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.384 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.384 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.384 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.384 * [taylor]: Taking taylor expansion of -1 in ky
15.384 * [backup-simplify]: Simplify -1 into -1
15.384 * [taylor]: Taking taylor expansion of ky in ky
15.384 * [backup-simplify]: Simplify 0 into 0
15.384 * [backup-simplify]: Simplify 1 into 1
15.384 * [backup-simplify]: Simplify (/ -1 1) into -1
15.384 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.384 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.384 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.384 * [taylor]: Taking taylor expansion of -1 in ky
15.384 * [backup-simplify]: Simplify -1 into -1
15.384 * [taylor]: Taking taylor expansion of ky in ky
15.384 * [backup-simplify]: Simplify 0 into 0
15.384 * [backup-simplify]: Simplify 1 into 1
15.385 * [backup-simplify]: Simplify (/ -1 1) into -1
15.385 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.385 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.385 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.385 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.385 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.385 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.385 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.385 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.385 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.385 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.386 * [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)))
15.386 * [backup-simplify]: Simplify (+ 0) into 0
15.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.386 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.388 * [backup-simplify]: Simplify (+ 0 0) into 0
15.388 * [backup-simplify]: Simplify (+ 0) into 0
15.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.389 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.391 * [backup-simplify]: Simplify (+ 0 0) into 0
15.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.391 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.391 * [backup-simplify]: Simplify (+ 0 0) into 0
15.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.392 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.392 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.392 * [taylor]: Taking taylor expansion of 1 in ky
15.393 * [backup-simplify]: Simplify 1 into 1
15.393 * [backup-simplify]: Simplify (- 1) into -1
15.393 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.393 * [taylor]: Taking taylor expansion of (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1) in kx
15.393 * [taylor]: Taking taylor expansion of (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
15.393 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
15.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.394 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.394 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.394 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.394 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.394 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.394 * [taylor]: Taking taylor expansion of -1 in kx
15.394 * [backup-simplify]: Simplify -1 into -1
15.394 * [taylor]: Taking taylor expansion of kx in kx
15.394 * [backup-simplify]: Simplify 0 into 0
15.394 * [backup-simplify]: Simplify 1 into 1
15.394 * [backup-simplify]: Simplify (/ -1 1) into -1
15.394 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.394 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.394 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.394 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.394 * [taylor]: Taking taylor expansion of -1 in kx
15.394 * [backup-simplify]: Simplify -1 into -1
15.394 * [taylor]: Taking taylor expansion of ky in kx
15.395 * [backup-simplify]: Simplify ky into ky
15.395 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.395 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.395 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.395 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.395 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.395 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.395 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.395 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.395 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.396 * [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)))
15.396 * [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))))
15.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.397 * [backup-simplify]: Simplify (+ 0) into 0
15.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.397 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.399 * [backup-simplify]: Simplify (+ 0 0) into 0
15.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.399 * [backup-simplify]: Simplify (+ 0 0) into 0
15.400 * [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
15.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.400 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.400 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.400 * [taylor]: Taking taylor expansion of -1 in kx
15.400 * [backup-simplify]: Simplify -1 into -1
15.400 * [taylor]: Taking taylor expansion of ky in kx
15.400 * [backup-simplify]: Simplify ky into ky
15.400 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.401 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.401 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.401 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.401 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.401 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.401 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.402 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.402 * [taylor]: Taking taylor expansion of 1 in kx
15.402 * [backup-simplify]: Simplify 1 into 1
15.404 * [backup-simplify]: Simplify (- 1) into -1
15.405 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.405 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.406 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.407 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.408 * [backup-simplify]: Simplify (- 0) into 0
15.408 * [backup-simplify]: Simplify (+ 0 0) into 0
15.408 * [taylor]: Taking taylor expansion of 0 in kx
15.408 * [backup-simplify]: Simplify 0 into 0
15.408 * [backup-simplify]: Simplify 0 into 0
15.409 * [backup-simplify]: Simplify (+ 0) into 0
15.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.409 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.411 * [backup-simplify]: Simplify (+ 0 0) into 0
15.411 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
15.412 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.413 * [backup-simplify]: Simplify (- 0) into 0
15.413 * [backup-simplify]: Simplify (+ 0 0) into 0
15.413 * [backup-simplify]: Simplify 0 into 0
15.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.415 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.415 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.417 * [backup-simplify]: Simplify (+ 0 0) into 0
15.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.418 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.420 * [backup-simplify]: Simplify (+ 0 0) into 0
15.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.421 * [backup-simplify]: Simplify (+ 0 0) into 0
15.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.423 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.425 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.425 * [backup-simplify]: Simplify (- 0) into 0
15.426 * [backup-simplify]: Simplify (+ 0 0) into 0
15.426 * [taylor]: Taking taylor expansion of 0 in kx
15.426 * [backup-simplify]: Simplify 0 into 0
15.426 * [backup-simplify]: Simplify 0 into 0
15.426 * [backup-simplify]: Simplify 0 into 0
15.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.428 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.429 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.430 * [backup-simplify]: Simplify (+ 0 0) into 0
15.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.432 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.432 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.433 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.434 * [backup-simplify]: Simplify (+ 0 0) into 0
15.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.434 * [backup-simplify]: Simplify (+ 0 0) into 0
15.435 * [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
15.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.437 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.438 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.439 * [backup-simplify]: Simplify (- 0) into 0
15.439 * [backup-simplify]: Simplify (+ 0 0) into 0
15.439 * [backup-simplify]: Simplify 0 into 0
15.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.440 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.441 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.442 * [backup-simplify]: Simplify (+ 0 0) into 0
15.443 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.443 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.443 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.445 * [backup-simplify]: Simplify (+ 0 0) into 0
15.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
15.446 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.446 * [backup-simplify]: Simplify (+ 0 0) into 0
15.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.447 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 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
15.448 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.449 * [backup-simplify]: Simplify (- 0) into 0
15.449 * [backup-simplify]: Simplify (+ 0 0) into 0
15.449 * [taylor]: Taking taylor expansion of 0 in kx
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky)))))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
15.449 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
15.449 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin kx) (sin ky))) into (/ (sin ky) (hypot (sin kx) (sin ky)))
15.449 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in (ky kx) around 0
15.449 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
15.449 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.449 * [taylor]: Taking taylor expansion of ky in kx
15.449 * [backup-simplify]: Simplify ky into ky
15.449 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.449 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.450 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.450 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.450 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.450 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.450 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.450 * [taylor]: Taking taylor expansion of kx in kx
15.450 * [backup-simplify]: Simplify 0 into 0
15.450 * [backup-simplify]: Simplify 1 into 1
15.450 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.450 * [taylor]: Taking taylor expansion of kx in kx
15.450 * [backup-simplify]: Simplify 0 into 0
15.450 * [backup-simplify]: Simplify 1 into 1
15.450 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.450 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.450 * [taylor]: Taking taylor expansion of ky in kx
15.450 * [backup-simplify]: Simplify ky into ky
15.450 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.450 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.450 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.450 * [taylor]: Taking taylor expansion of ky in kx
15.450 * [backup-simplify]: Simplify ky into ky
15.450 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.450 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.450 * [backup-simplify]: Simplify (* 0 0) into 0
15.450 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.450 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.450 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.450 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.450 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.450 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.451 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.451 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.451 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.452 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.452 * [backup-simplify]: Simplify (+ 0) into 0
15.452 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.453 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.453 * [backup-simplify]: Simplify (+ 0 0) into 0
15.454 * [backup-simplify]: Simplify (+ 0) into 0
15.454 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.455 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.455 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.455 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.455 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.455 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.455 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
15.455 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.455 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.455 * [taylor]: Taking taylor expansion of ky in ky
15.455 * [backup-simplify]: Simplify 0 into 0
15.455 * [backup-simplify]: Simplify 1 into 1
15.455 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.455 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.456 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.456 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.456 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.456 * [taylor]: Taking taylor expansion of kx in ky
15.456 * [backup-simplify]: Simplify kx into kx
15.456 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.456 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.456 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.456 * [taylor]: Taking taylor expansion of kx in ky
15.456 * [backup-simplify]: Simplify kx into kx
15.456 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.456 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.456 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.456 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.456 * [taylor]: Taking taylor expansion of ky in ky
15.456 * [backup-simplify]: Simplify 0 into 0
15.456 * [backup-simplify]: Simplify 1 into 1
15.456 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.456 * [taylor]: Taking taylor expansion of ky in ky
15.456 * [backup-simplify]: Simplify 0 into 0
15.456 * [backup-simplify]: Simplify 1 into 1
15.456 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.456 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.456 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.456 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.456 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.456 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.456 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.456 * [backup-simplify]: Simplify (* 0 0) into 0
15.456 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.457 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.457 * [backup-simplify]: Simplify (+ 0) into 0
15.457 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.458 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.458 * [backup-simplify]: Simplify (+ 0 0) into 0
15.458 * [backup-simplify]: Simplify (+ 0) into 0
15.459 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.459 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.459 * [backup-simplify]: Simplify (+ 0 0) into 0
15.460 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.461 * [backup-simplify]: Simplify (+ 0 0) into 0
15.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.462 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.462 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.462 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.462 * [taylor]: Taking taylor expansion of ky in ky
15.462 * [backup-simplify]: Simplify 0 into 0
15.462 * [backup-simplify]: Simplify 1 into 1
15.462 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.462 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.462 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.462 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.462 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.462 * [taylor]: Taking taylor expansion of kx in ky
15.462 * [backup-simplify]: Simplify kx into kx
15.462 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.462 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.462 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.462 * [taylor]: Taking taylor expansion of kx in ky
15.462 * [backup-simplify]: Simplify kx into kx
15.462 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.462 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.462 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.462 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.462 * [taylor]: Taking taylor expansion of ky in ky
15.462 * [backup-simplify]: Simplify 0 into 0
15.462 * [backup-simplify]: Simplify 1 into 1
15.462 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.462 * [taylor]: Taking taylor expansion of ky in ky
15.462 * [backup-simplify]: Simplify 0 into 0
15.462 * [backup-simplify]: Simplify 1 into 1
15.462 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.462 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.462 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.462 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.462 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.462 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.462 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.463 * [backup-simplify]: Simplify (* 0 0) into 0
15.463 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.463 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.463 * [backup-simplify]: Simplify (+ 0) into 0
15.464 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.464 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.464 * [backup-simplify]: Simplify (+ 0 0) into 0
15.465 * [backup-simplify]: Simplify (+ 0) into 0
15.465 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.466 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.466 * [backup-simplify]: Simplify (+ 0 0) into 0
15.466 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.468 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.468 * [backup-simplify]: Simplify (+ 0 0) into 0
15.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.469 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.469 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.469 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.469 * [taylor]: Taking taylor expansion of kx in kx
15.469 * [backup-simplify]: Simplify 0 into 0
15.469 * [backup-simplify]: Simplify 1 into 1
15.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.470 * [backup-simplify]: Simplify (/ 1 1) into 1
15.471 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.472 * [backup-simplify]: Simplify 0 into 0
15.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.473 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
15.473 * [taylor]: Taking taylor expansion of 0 in kx
15.473 * [backup-simplify]: Simplify 0 into 0
15.473 * [backup-simplify]: Simplify 0 into 0
15.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.476 * [backup-simplify]: Simplify 1/6 into 1/6
15.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.479 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.480 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.481 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.481 * [backup-simplify]: Simplify (+ 0 0) into 0
15.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.483 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.484 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.484 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.485 * [backup-simplify]: Simplify (+ 0 0) into 0
15.485 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.486 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.488 * [backup-simplify]: Simplify (+ 0 1) into 1
15.489 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.489 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
15.489 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
15.489 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
15.489 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
15.489 * [taylor]: Taking taylor expansion of 1/6 in kx
15.489 * [backup-simplify]: Simplify 1/6 into 1/6
15.489 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.489 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.489 * [taylor]: Taking taylor expansion of kx in kx
15.489 * [backup-simplify]: Simplify 0 into 0
15.489 * [backup-simplify]: Simplify 1 into 1
15.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.491 * [backup-simplify]: Simplify (/ 1 1) into 1
15.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
15.491 * [taylor]: Taking taylor expansion of 1/2 in kx
15.491 * [backup-simplify]: Simplify 1/2 into 1/2
15.491 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
15.491 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
15.491 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.491 * [taylor]: Taking taylor expansion of kx in kx
15.491 * [backup-simplify]: Simplify 0 into 0
15.491 * [backup-simplify]: Simplify 1 into 1
15.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.492 * [backup-simplify]: Simplify (* 1 1) into 1
15.492 * [backup-simplify]: Simplify (* 1 1) into 1
15.493 * [backup-simplify]: Simplify (/ 1 1) into 1
15.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.495 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
15.496 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
15.501 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
15.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.506 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
15.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
15.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
15.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
15.510 * [backup-simplify]: Simplify (+ 0 0) into 0
15.511 * [backup-simplify]: Simplify (- 0) into 0
15.511 * [backup-simplify]: Simplify 0 into 0
15.511 * [backup-simplify]: Simplify 0 into 0
15.513 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
15.514 * [backup-simplify]: Simplify 0 into 0
15.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.517 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.520 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.520 * [backup-simplify]: Simplify (+ 0 0) into 0
15.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.522 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.524 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.524 * [backup-simplify]: Simplify (+ 0 0) into 0
15.525 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
15.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.528 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
15.528 * [backup-simplify]: Simplify (+ 0 0) into 0
15.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
15.529 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 0 (sin kx))))) into 0
15.529 * [taylor]: Taking taylor expansion of 0 in kx
15.529 * [backup-simplify]: Simplify 0 into 0
15.529 * [backup-simplify]: Simplify 0 into 0
15.531 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.533 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
15.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
15.536 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
15.537 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
15.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
15.539 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
15.539 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
15.539 * [backup-simplify]: Simplify (- 71/720) into -71/720
15.539 * [backup-simplify]: Simplify -71/720 into -71/720
15.539 * [backup-simplify]: Simplify 0 into 0
15.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
15.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
15.543 * [backup-simplify]: Simplify 7/360 into 7/360
15.543 * [backup-simplify]: Simplify (+ (* 7/360 (* (pow kx 3) ky)) (+ (* -71/720 (* kx (pow ky 3))) (* 1/6 (* kx ky)))) into (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
15.543 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
15.543 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (ky kx) around 0
15.543 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
15.543 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.543 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.543 * [taylor]: Taking taylor expansion of ky in kx
15.543 * [backup-simplify]: Simplify ky into ky
15.543 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.543 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.543 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.543 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
15.543 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.543 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
15.543 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.543 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.543 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.543 * [taylor]: Taking taylor expansion of kx in kx
15.543 * [backup-simplify]: Simplify 0 into 0
15.543 * [backup-simplify]: Simplify 1 into 1
15.544 * [backup-simplify]: Simplify (/ 1 1) into 1
15.544 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.544 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.544 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.544 * [taylor]: Taking taylor expansion of kx in kx
15.544 * [backup-simplify]: Simplify 0 into 0
15.544 * [backup-simplify]: Simplify 1 into 1
15.544 * [backup-simplify]: Simplify (/ 1 1) into 1
15.544 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.544 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.544 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.544 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.544 * [taylor]: Taking taylor expansion of ky in kx
15.544 * [backup-simplify]: Simplify ky into ky
15.544 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.544 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.544 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.544 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.544 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.544 * [taylor]: Taking taylor expansion of ky in kx
15.544 * [backup-simplify]: Simplify ky into ky
15.544 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.545 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.545 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.545 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.545 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.545 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.545 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.545 * [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)))
15.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.546 * [backup-simplify]: Simplify (+ 0) into 0
15.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.547 * [backup-simplify]: Simplify (+ 0 0) into 0
15.547 * [backup-simplify]: Simplify (+ 0) into 0
15.548 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.549 * [backup-simplify]: Simplify (+ 0 0) into 0
15.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.549 * [backup-simplify]: Simplify (+ 0 0) into 0
15.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.549 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.549 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.549 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.549 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.550 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.550 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.550 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.550 * [taylor]: Taking taylor expansion of ky in ky
15.550 * [backup-simplify]: Simplify 0 into 0
15.550 * [backup-simplify]: Simplify 1 into 1
15.550 * [backup-simplify]: Simplify (/ 1 1) into 1
15.550 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.550 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.550 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.550 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.550 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.550 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.550 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.550 * [taylor]: Taking taylor expansion of kx in ky
15.550 * [backup-simplify]: Simplify kx into kx
15.550 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.550 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.550 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.550 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.550 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.550 * [taylor]: Taking taylor expansion of kx in ky
15.550 * [backup-simplify]: Simplify kx into kx
15.550 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.550 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.550 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.550 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.550 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.550 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.550 * [taylor]: Taking taylor expansion of ky in ky
15.550 * [backup-simplify]: Simplify 0 into 0
15.550 * [backup-simplify]: Simplify 1 into 1
15.551 * [backup-simplify]: Simplify (/ 1 1) into 1
15.551 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.551 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.551 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.551 * [taylor]: Taking taylor expansion of ky in ky
15.551 * [backup-simplify]: Simplify 0 into 0
15.551 * [backup-simplify]: Simplify 1 into 1
15.551 * [backup-simplify]: Simplify (/ 1 1) into 1
15.551 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.551 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.551 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.551 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.552 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.552 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.552 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.552 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.552 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.552 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.552 * [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)))
15.552 * [backup-simplify]: Simplify (+ 0) into 0
15.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.554 * [backup-simplify]: Simplify (+ 0 0) into 0
15.554 * [backup-simplify]: Simplify (+ 0) into 0
15.554 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.555 * [backup-simplify]: Simplify (+ 0 0) into 0
15.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.556 * [backup-simplify]: Simplify (+ 0 0) into 0
15.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.556 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.556 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.556 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.556 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.556 * [taylor]: Taking taylor expansion of ky in ky
15.556 * [backup-simplify]: Simplify 0 into 0
15.556 * [backup-simplify]: Simplify 1 into 1
15.556 * [backup-simplify]: Simplify (/ 1 1) into 1
15.557 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.557 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.557 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.557 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.557 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.557 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.557 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.557 * [taylor]: Taking taylor expansion of kx in ky
15.557 * [backup-simplify]: Simplify kx into kx
15.557 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.557 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.557 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.557 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.557 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.557 * [taylor]: Taking taylor expansion of kx in ky
15.557 * [backup-simplify]: Simplify kx into kx
15.557 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.557 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.557 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.557 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.557 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.557 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.557 * [taylor]: Taking taylor expansion of ky in ky
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [backup-simplify]: Simplify 1 into 1
15.557 * [backup-simplify]: Simplify (/ 1 1) into 1
15.557 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.557 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.557 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.557 * [taylor]: Taking taylor expansion of ky in ky
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [backup-simplify]: Simplify 1 into 1
15.558 * [backup-simplify]: Simplify (/ 1 1) into 1
15.558 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.558 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.558 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.558 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.558 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.558 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.558 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.558 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.558 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.558 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.558 * [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)))
15.559 * [backup-simplify]: Simplify (+ 0) into 0
15.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.560 * [backup-simplify]: Simplify (+ 0 0) into 0
15.560 * [backup-simplify]: Simplify (+ 0) into 0
15.561 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.562 * [backup-simplify]: Simplify (+ 0 0) into 0
15.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.562 * [backup-simplify]: Simplify (+ 0 0) into 0
15.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.562 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.563 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
15.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.563 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.563 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.563 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.563 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.563 * [taylor]: Taking taylor expansion of kx in kx
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify 1 into 1
15.563 * [backup-simplify]: Simplify (/ 1 1) into 1
15.563 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.563 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.563 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.563 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.563 * [taylor]: Taking taylor expansion of ky in kx
15.563 * [backup-simplify]: Simplify ky into ky
15.563 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.563 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.564 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.564 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.564 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.564 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.565 * [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)))
15.565 * [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))))
15.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.565 * [backup-simplify]: Simplify (+ 0) into 0
15.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.569 * [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
15.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.569 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.569 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.569 * [taylor]: Taking taylor expansion of ky in kx
15.569 * [backup-simplify]: Simplify ky into ky
15.569 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.569 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.569 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.569 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.569 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.570 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.570 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.570 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.571 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.571 * [taylor]: Taking taylor expansion of 0 in kx
15.571 * [backup-simplify]: Simplify 0 into 0
15.571 * [backup-simplify]: Simplify 0 into 0
15.572 * [backup-simplify]: Simplify (+ 0) into 0
15.572 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.574 * [backup-simplify]: Simplify (+ 0 0) into 0
15.574 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
15.574 * [backup-simplify]: Simplify 0 into 0
15.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.576 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.577 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.578 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.578 * [backup-simplify]: Simplify (+ 0 0) into 0
15.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.580 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.581 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.581 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.581 * [backup-simplify]: Simplify (+ 0 0) into 0
15.582 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.582 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.583 * [backup-simplify]: Simplify (+ 0 0) into 0
15.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.585 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.585 * [taylor]: Taking taylor expansion of 0 in kx
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [backup-simplify]: Simplify 0 into 0
15.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.588 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.589 * [backup-simplify]: Simplify (+ 0 0) into 0
15.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.590 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.591 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.592 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.593 * [backup-simplify]: Simplify (+ 0 0) into 0
15.594 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.594 * [backup-simplify]: Simplify (+ 0 0) into 0
15.595 * [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
15.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.597 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.597 * [backup-simplify]: Simplify 0 into 0
15.598 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.599 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.602 * [backup-simplify]: Simplify (+ 0 0) into 0
15.603 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.607 * [backup-simplify]: Simplify (+ 0 0) into 0
15.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
15.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
15.609 * [backup-simplify]: Simplify (+ 0 0) into 0
15.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.612 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 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
15.612 * [taylor]: Taking taylor expansion of 0 in kx
15.612 * [backup-simplify]: Simplify 0 into 0
15.612 * [backup-simplify]: Simplify 0 into 0
15.612 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
15.612 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
15.612 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (ky kx) around 0
15.612 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
15.612 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.612 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.612 * [taylor]: Taking taylor expansion of -1 in kx
15.613 * [backup-simplify]: Simplify -1 into -1
15.613 * [taylor]: Taking taylor expansion of ky in kx
15.613 * [backup-simplify]: Simplify ky into ky
15.613 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.613 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.613 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.613 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
15.613 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.613 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
15.613 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.613 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.613 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.613 * [taylor]: Taking taylor expansion of -1 in kx
15.613 * [backup-simplify]: Simplify -1 into -1
15.613 * [taylor]: Taking taylor expansion of kx in kx
15.613 * [backup-simplify]: Simplify 0 into 0
15.613 * [backup-simplify]: Simplify 1 into 1
15.614 * [backup-simplify]: Simplify (/ -1 1) into -1
15.614 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.614 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.614 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.614 * [taylor]: Taking taylor expansion of -1 in kx
15.614 * [backup-simplify]: Simplify -1 into -1
15.614 * [taylor]: Taking taylor expansion of kx in kx
15.614 * [backup-simplify]: Simplify 0 into 0
15.614 * [backup-simplify]: Simplify 1 into 1
15.614 * [backup-simplify]: Simplify (/ -1 1) into -1
15.614 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.615 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.615 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.615 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.615 * [taylor]: Taking taylor expansion of -1 in kx
15.615 * [backup-simplify]: Simplify -1 into -1
15.615 * [taylor]: Taking taylor expansion of ky in kx
15.615 * [backup-simplify]: Simplify ky into ky
15.615 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.615 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.615 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.615 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.615 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.615 * [taylor]: Taking taylor expansion of -1 in kx
15.615 * [backup-simplify]: Simplify -1 into -1
15.615 * [taylor]: Taking taylor expansion of ky in kx
15.615 * [backup-simplify]: Simplify ky into ky
15.615 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.615 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.615 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.615 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.616 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.616 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.616 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.616 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.616 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.616 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.616 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.616 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.617 * [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)))
15.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.617 * [backup-simplify]: Simplify (+ 0) into 0
15.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.618 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.619 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.620 * [backup-simplify]: Simplify (+ 0 0) into 0
15.620 * [backup-simplify]: Simplify (+ 0) into 0
15.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.621 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.622 * [backup-simplify]: Simplify (+ 0 0) into 0
15.623 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.623 * [backup-simplify]: Simplify (+ 0 0) into 0
15.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.623 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.624 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.624 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.624 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.624 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.624 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.624 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.624 * [taylor]: Taking taylor expansion of -1 in ky
15.624 * [backup-simplify]: Simplify -1 into -1
15.624 * [taylor]: Taking taylor expansion of ky in ky
15.624 * [backup-simplify]: Simplify 0 into 0
15.624 * [backup-simplify]: Simplify 1 into 1
15.625 * [backup-simplify]: Simplify (/ -1 1) into -1
15.625 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.625 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.625 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.625 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.625 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.625 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.625 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.625 * [taylor]: Taking taylor expansion of -1 in ky
15.625 * [backup-simplify]: Simplify -1 into -1
15.625 * [taylor]: Taking taylor expansion of kx in ky
15.625 * [backup-simplify]: Simplify kx into kx
15.625 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.625 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.625 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.625 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.625 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.625 * [taylor]: Taking taylor expansion of -1 in ky
15.625 * [backup-simplify]: Simplify -1 into -1
15.625 * [taylor]: Taking taylor expansion of kx in ky
15.625 * [backup-simplify]: Simplify kx into kx
15.626 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.626 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.626 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.626 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.626 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.626 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.626 * [taylor]: Taking taylor expansion of -1 in ky
15.626 * [backup-simplify]: Simplify -1 into -1
15.626 * [taylor]: Taking taylor expansion of ky in ky
15.626 * [backup-simplify]: Simplify 0 into 0
15.626 * [backup-simplify]: Simplify 1 into 1
15.626 * [backup-simplify]: Simplify (/ -1 1) into -1
15.626 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.626 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.626 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.627 * [taylor]: Taking taylor expansion of -1 in ky
15.627 * [backup-simplify]: Simplify -1 into -1
15.627 * [taylor]: Taking taylor expansion of ky in ky
15.627 * [backup-simplify]: Simplify 0 into 0
15.627 * [backup-simplify]: Simplify 1 into 1
15.627 * [backup-simplify]: Simplify (/ -1 1) into -1
15.627 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.627 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.627 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.627 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.628 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.628 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.628 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.628 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.628 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.628 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.628 * [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)))
15.629 * [backup-simplify]: Simplify (+ 0) into 0
15.629 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.630 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.631 * [backup-simplify]: Simplify (+ 0 0) into 0
15.632 * [backup-simplify]: Simplify (+ 0) into 0
15.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.632 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.634 * [backup-simplify]: Simplify (+ 0 0) into 0
15.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.635 * [backup-simplify]: Simplify (+ 0 0) into 0
15.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.635 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.635 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.635 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.635 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.635 * [taylor]: Taking taylor expansion of -1 in ky
15.635 * [backup-simplify]: Simplify -1 into -1
15.635 * [taylor]: Taking taylor expansion of ky in ky
15.635 * [backup-simplify]: Simplify 0 into 0
15.635 * [backup-simplify]: Simplify 1 into 1
15.636 * [backup-simplify]: Simplify (/ -1 1) into -1
15.636 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.636 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.636 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.636 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.636 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.636 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.636 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.636 * [taylor]: Taking taylor expansion of -1 in ky
15.636 * [backup-simplify]: Simplify -1 into -1
15.636 * [taylor]: Taking taylor expansion of kx in ky
15.636 * [backup-simplify]: Simplify kx into kx
15.636 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.636 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.636 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.637 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.637 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.637 * [taylor]: Taking taylor expansion of -1 in ky
15.637 * [backup-simplify]: Simplify -1 into -1
15.637 * [taylor]: Taking taylor expansion of kx in ky
15.637 * [backup-simplify]: Simplify kx into kx
15.637 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.637 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.637 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.637 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.637 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.637 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.637 * [taylor]: Taking taylor expansion of -1 in ky
15.637 * [backup-simplify]: Simplify -1 into -1
15.637 * [taylor]: Taking taylor expansion of ky in ky
15.637 * [backup-simplify]: Simplify 0 into 0
15.637 * [backup-simplify]: Simplify 1 into 1
15.638 * [backup-simplify]: Simplify (/ -1 1) into -1
15.638 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.638 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.638 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.638 * [taylor]: Taking taylor expansion of -1 in ky
15.638 * [backup-simplify]: Simplify -1 into -1
15.638 * [taylor]: Taking taylor expansion of ky in ky
15.638 * [backup-simplify]: Simplify 0 into 0
15.638 * [backup-simplify]: Simplify 1 into 1
15.638 * [backup-simplify]: Simplify (/ -1 1) into -1
15.638 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.638 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.639 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.639 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.639 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.639 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.639 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.639 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.639 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.639 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.640 * [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)))
15.640 * [backup-simplify]: Simplify (+ 0) into 0
15.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.641 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.643 * [backup-simplify]: Simplify (+ 0 0) into 0
15.643 * [backup-simplify]: Simplify (+ 0) into 0
15.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.644 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.645 * [backup-simplify]: Simplify (+ 0 0) into 0
15.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.646 * [backup-simplify]: Simplify (+ 0 0) into 0
15.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.647 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.647 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
15.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.647 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.647 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.647 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.647 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.647 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.647 * [taylor]: Taking taylor expansion of -1 in kx
15.647 * [backup-simplify]: Simplify -1 into -1
15.647 * [taylor]: Taking taylor expansion of kx in kx
15.647 * [backup-simplify]: Simplify 0 into 0
15.647 * [backup-simplify]: Simplify 1 into 1
15.648 * [backup-simplify]: Simplify (/ -1 1) into -1
15.648 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.648 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.648 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.648 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.648 * [taylor]: Taking taylor expansion of -1 in kx
15.648 * [backup-simplify]: Simplify -1 into -1
15.648 * [taylor]: Taking taylor expansion of ky in kx
15.648 * [backup-simplify]: Simplify ky into ky
15.648 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.648 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.648 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.648 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.648 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.648 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.649 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.649 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.649 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.649 * [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)))
15.649 * [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))))
15.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.650 * [backup-simplify]: Simplify (+ 0) into 0
15.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.651 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.653 * [backup-simplify]: Simplify (+ 0 0) into 0
15.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.653 * [backup-simplify]: Simplify (+ 0 0) into 0
15.654 * [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
15.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.654 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.654 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.654 * [taylor]: Taking taylor expansion of -1 in kx
15.654 * [backup-simplify]: Simplify -1 into -1
15.654 * [taylor]: Taking taylor expansion of ky in kx
15.654 * [backup-simplify]: Simplify ky into ky
15.654 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.654 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.655 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.655 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.655 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.655 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.655 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.656 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.656 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.656 * [taylor]: Taking taylor expansion of 0 in kx
15.656 * [backup-simplify]: Simplify 0 into 0
15.656 * [backup-simplify]: Simplify 0 into 0
15.657 * [backup-simplify]: Simplify (+ 0) into 0
15.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.658 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.659 * [backup-simplify]: Simplify (+ 0 0) into 0
15.660 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
15.660 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.661 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.662 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.662 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.663 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.663 * [backup-simplify]: Simplify (+ 0 0) into 0
15.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.665 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.666 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.669 * [backup-simplify]: Simplify (+ 0 0) into 0
15.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.671 * [backup-simplify]: Simplify (+ 0 0) into 0
15.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.673 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.673 * [taylor]: Taking taylor expansion of 0 in kx
15.673 * [backup-simplify]: Simplify 0 into 0
15.673 * [backup-simplify]: Simplify 0 into 0
15.673 * [backup-simplify]: Simplify 0 into 0
15.674 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.675 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.675 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.676 * [backup-simplify]: Simplify (+ 0 0) into 0
15.676 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.677 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.678 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.678 * [backup-simplify]: Simplify (+ 0 0) into 0
15.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.679 * [backup-simplify]: Simplify (+ 0 0) into 0
15.679 * [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
15.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.680 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.680 * [backup-simplify]: Simplify 0 into 0
15.681 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.681 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.683 * [backup-simplify]: Simplify (+ 0 0) into 0
15.683 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.684 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.684 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.686 * [backup-simplify]: Simplify (+ 0 0) into 0
15.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
15.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.687 * [backup-simplify]: Simplify (+ 0 0) into 0
15.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.688 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 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
15.688 * [taylor]: Taking taylor expansion of 0 in kx
15.688 * [backup-simplify]: Simplify 0 into 0
15.689 * [backup-simplify]: Simplify 0 into 0
15.689 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
15.689 * * * * [progress]: [ 3 / 4 ] generating series at (2)
15.689 * [backup-simplify]: Simplify (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) into (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th))
15.689 * [approximate]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in (th ky kx) around 0
15.689 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in kx
15.689 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
15.689 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.689 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
15.689 * [taylor]: Taking taylor expansion of 1 in kx
15.689 * [backup-simplify]: Simplify 1 into 1
15.689 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.689 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.689 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.689 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
15.689 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.689 * [taylor]: Taking taylor expansion of ky in kx
15.689 * [backup-simplify]: Simplify ky into ky
15.689 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.689 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.689 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.689 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.689 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.689 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.689 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.689 * [taylor]: Taking taylor expansion of kx in kx
15.689 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 1 into 1
15.690 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.690 * [taylor]: Taking taylor expansion of kx in kx
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 1 into 1
15.690 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.690 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.690 * [taylor]: Taking taylor expansion of ky in kx
15.690 * [backup-simplify]: Simplify ky into ky
15.690 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.690 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.690 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.690 * [taylor]: Taking taylor expansion of ky in kx
15.690 * [backup-simplify]: Simplify ky into ky
15.690 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.690 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.690 * [backup-simplify]: Simplify (* 0 0) into 0
15.690 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.690 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.690 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.690 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.690 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.690 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.690 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.691 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.691 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.692 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.692 * [backup-simplify]: Simplify (+ 0) into 0
15.693 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.694 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.694 * [backup-simplify]: Simplify (+ 0 0) into 0
15.694 * [backup-simplify]: Simplify (+ 0) into 0
15.694 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.695 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.695 * [backup-simplify]: Simplify (+ 0 0) into 0
15.695 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.696 * [backup-simplify]: Simplify (+ 0 0) into 0
15.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.696 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.696 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.696 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.696 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
15.696 * [backup-simplify]: Simplify (exp 1) into E
15.696 * [taylor]: Taking taylor expansion of 1 in kx
15.696 * [backup-simplify]: Simplify 1 into 1
15.696 * [backup-simplify]: Simplify (- 1) into -1
15.697 * [backup-simplify]: Simplify (+ E -1) into (- E 1)
15.697 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E
15.697 * [backup-simplify]: Simplify (log E) into 1
15.697 * [taylor]: Taking taylor expansion of (sin th) in kx
15.697 * [taylor]: Taking taylor expansion of th in kx
15.697 * [backup-simplify]: Simplify th into th
15.697 * [backup-simplify]: Simplify (sin th) into (sin th)
15.697 * [backup-simplify]: Simplify (cos th) into (cos th)
15.697 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in ky
15.697 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.698 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.698 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.698 * [taylor]: Taking taylor expansion of 1 in ky
15.698 * [backup-simplify]: Simplify 1 into 1
15.698 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.698 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.698 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.698 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.698 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.698 * [taylor]: Taking taylor expansion of ky in ky
15.698 * [backup-simplify]: Simplify 0 into 0
15.698 * [backup-simplify]: Simplify 1 into 1
15.698 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.698 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.698 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.698 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.698 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.698 * [taylor]: Taking taylor expansion of kx in ky
15.698 * [backup-simplify]: Simplify kx into kx
15.698 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.698 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.698 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.698 * [taylor]: Taking taylor expansion of kx in ky
15.698 * [backup-simplify]: Simplify kx into kx
15.698 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.698 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.698 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.698 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.698 * [taylor]: Taking taylor expansion of ky in ky
15.698 * [backup-simplify]: Simplify 0 into 0
15.698 * [backup-simplify]: Simplify 1 into 1
15.698 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.698 * [taylor]: Taking taylor expansion of ky in ky
15.698 * [backup-simplify]: Simplify 0 into 0
15.698 * [backup-simplify]: Simplify 1 into 1
15.698 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.698 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.698 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.698 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.698 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.698 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.698 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.699 * [backup-simplify]: Simplify (* 0 0) into 0
15.699 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.699 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.699 * [backup-simplify]: Simplify (+ 0) into 0
15.699 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.700 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.700 * [backup-simplify]: Simplify (+ 0 0) into 0
15.701 * [backup-simplify]: Simplify (+ 0) into 0
15.701 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.702 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.702 * [backup-simplify]: Simplify (+ 0 0) into 0
15.702 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.704 * [backup-simplify]: Simplify (+ 0 0) into 0
15.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.705 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.705 * [backup-simplify]: Simplify (exp 0) into 1
15.705 * [taylor]: Taking taylor expansion of 1 in ky
15.705 * [backup-simplify]: Simplify 1 into 1
15.706 * [backup-simplify]: Simplify (- 1) into -1
15.706 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.706 * [backup-simplify]: Simplify (+ 1 0) into 1
15.707 * [backup-simplify]: Simplify (log 1) into 0
15.707 * [taylor]: Taking taylor expansion of (sin th) in ky
15.707 * [taylor]: Taking taylor expansion of th in ky
15.707 * [backup-simplify]: Simplify th into th
15.707 * [backup-simplify]: Simplify (sin th) into (sin th)
15.707 * [backup-simplify]: Simplify (cos th) into (cos th)
15.707 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in th
15.707 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
15.707 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.707 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
15.707 * [taylor]: Taking taylor expansion of 1 in th
15.707 * [backup-simplify]: Simplify 1 into 1
15.707 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
15.707 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.708 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
15.708 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in th
15.708 * [taylor]: Taking taylor expansion of (sin ky) in th
15.708 * [taylor]: Taking taylor expansion of ky in th
15.708 * [backup-simplify]: Simplify ky into ky
15.708 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.708 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.708 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
15.708 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.708 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
15.708 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.708 * [taylor]: Taking taylor expansion of (sin kx) in th
15.708 * [taylor]: Taking taylor expansion of kx in th
15.708 * [backup-simplify]: Simplify kx into kx
15.708 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.708 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.708 * [taylor]: Taking taylor expansion of (sin kx) in th
15.708 * [taylor]: Taking taylor expansion of kx in th
15.708 * [backup-simplify]: Simplify kx into kx
15.708 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.708 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.708 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.708 * [taylor]: Taking taylor expansion of (sin ky) in th
15.708 * [taylor]: Taking taylor expansion of ky in th
15.708 * [backup-simplify]: Simplify ky into ky
15.708 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.708 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.708 * [taylor]: Taking taylor expansion of (sin ky) in th
15.708 * [taylor]: Taking taylor expansion of ky in th
15.709 * [backup-simplify]: Simplify ky into ky
15.709 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.709 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.709 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.709 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.709 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.709 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.709 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.709 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.709 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.709 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.709 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.709 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.709 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.709 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.710 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.710 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.710 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.710 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.711 * [backup-simplify]: Simplify (+ 0) into 0
15.711 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.713 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.713 * [backup-simplify]: Simplify (+ 0 0) into 0
15.714 * [backup-simplify]: Simplify (+ 0) into 0
15.714 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.716 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.716 * [backup-simplify]: Simplify (+ 0 0) into 0
15.716 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.717 * [backup-simplify]: Simplify (+ 0) into 0
15.717 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.718 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.719 * [backup-simplify]: Simplify (+ 0 0) into 0
15.719 * [backup-simplify]: Simplify (+ 0) into 0
15.720 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.721 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.721 * [backup-simplify]: Simplify (+ 0 0) into 0
15.721 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.722 * [backup-simplify]: Simplify (+ 0 0) into 0
15.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.722 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.722 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.722 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.722 * [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))
15.723 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
15.723 * [taylor]: Taking taylor expansion of 1 in th
15.723 * [backup-simplify]: Simplify 1 into 1
15.723 * [backup-simplify]: Simplify (- 1) into -1
15.724 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
15.724 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
15.724 * [backup-simplify]: Simplify (log (exp (* (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))
15.724 * [taylor]: Taking taylor expansion of (sin th) in th
15.724 * [taylor]: Taking taylor expansion of th in th
15.724 * [backup-simplify]: Simplify 0 into 0
15.724 * [backup-simplify]: Simplify 1 into 1
15.724 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in th
15.724 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
15.724 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.724 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
15.724 * [taylor]: Taking taylor expansion of 1 in th
15.725 * [backup-simplify]: Simplify 1 into 1
15.725 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
15.725 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.725 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
15.725 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in th
15.725 * [taylor]: Taking taylor expansion of (sin ky) in th
15.725 * [taylor]: Taking taylor expansion of ky in th
15.725 * [backup-simplify]: Simplify ky into ky
15.725 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.725 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.725 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
15.725 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.725 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
15.725 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.725 * [taylor]: Taking taylor expansion of (sin kx) in th
15.725 * [taylor]: Taking taylor expansion of kx in th
15.725 * [backup-simplify]: Simplify kx into kx
15.725 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.725 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.725 * [taylor]: Taking taylor expansion of (sin kx) in th
15.725 * [taylor]: Taking taylor expansion of kx in th
15.725 * [backup-simplify]: Simplify kx into kx
15.725 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.725 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.725 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.725 * [taylor]: Taking taylor expansion of (sin ky) in th
15.725 * [taylor]: Taking taylor expansion of ky in th
15.725 * [backup-simplify]: Simplify ky into ky
15.725 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.726 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.726 * [taylor]: Taking taylor expansion of (sin ky) in th
15.726 * [taylor]: Taking taylor expansion of ky in th
15.726 * [backup-simplify]: Simplify ky into ky
15.726 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.726 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.726 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.726 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.726 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.726 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.726 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.726 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.726 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.726 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.726 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.726 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.726 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.727 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.727 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.727 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.727 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.727 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.728 * [backup-simplify]: Simplify (+ 0) into 0
15.728 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.730 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.730 * [backup-simplify]: Simplify (+ 0 0) into 0
15.730 * [backup-simplify]: Simplify (+ 0) into 0
15.731 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.732 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.732 * [backup-simplify]: Simplify (+ 0 0) into 0
15.732 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.732 * [backup-simplify]: Simplify (+ 0) into 0
15.733 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.733 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.734 * [backup-simplify]: Simplify (+ 0 0) into 0
15.734 * [backup-simplify]: Simplify (+ 0) into 0
15.734 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.735 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.735 * [backup-simplify]: Simplify (+ 0 0) into 0
15.735 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.735 * [backup-simplify]: Simplify (+ 0 0) into 0
15.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.736 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.736 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.736 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.736 * [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))
15.736 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
15.736 * [taylor]: Taking taylor expansion of 1 in th
15.736 * [backup-simplify]: Simplify 1 into 1
15.736 * [backup-simplify]: Simplify (- 1) into -1
15.736 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
15.737 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
15.737 * [backup-simplify]: Simplify (log (exp (* (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))
15.737 * [taylor]: Taking taylor expansion of (sin th) in th
15.737 * [taylor]: Taking taylor expansion of th in th
15.737 * [backup-simplify]: Simplify 0 into 0
15.737 * [backup-simplify]: Simplify 1 into 1
15.737 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 0) into 0
15.737 * [taylor]: Taking taylor expansion of 0 in ky
15.737 * [backup-simplify]: Simplify 0 into 0
15.737 * [taylor]: Taking taylor expansion of 0 in kx
15.737 * [backup-simplify]: Simplify 0 into 0
15.737 * [backup-simplify]: Simplify 0 into 0
15.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.738 * [backup-simplify]: Simplify (+ 0) into 0
15.738 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.739 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.739 * [backup-simplify]: Simplify (+ 0 0) into 0
15.740 * [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
15.740 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (+ (* (/ (pow 0 1) 1)))) into 0
15.741 * [backup-simplify]: Simplify (- 0) into 0
15.741 * [backup-simplify]: Simplify (+ 0 0) into 0
15.741 * [backup-simplify]: Simplify (+ 0 0) into 0
15.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)))) 1) into 0
15.742 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1) (* 0 0)) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
15.742 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
15.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
15.742 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
15.742 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
15.742 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
15.742 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.742 * [taylor]: Taking taylor expansion of ky in ky
15.742 * [backup-simplify]: Simplify 0 into 0
15.742 * [backup-simplify]: Simplify 1 into 1
15.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.743 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
15.743 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.743 * [taylor]: Taking taylor expansion of kx in ky
15.743 * [backup-simplify]: Simplify kx into kx
15.743 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.743 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.743 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.743 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.743 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.743 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.743 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.743 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
15.743 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
15.743 * [backup-simplify]: Simplify (+ 0) into 0
15.744 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.745 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.745 * [backup-simplify]: Simplify (+ 0 0) into 0
15.745 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.745 * [backup-simplify]: Simplify (+ 0 0) into 0
15.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
15.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
15.745 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.745 * [taylor]: Taking taylor expansion of ky in ky
15.745 * [backup-simplify]: Simplify 0 into 0
15.745 * [backup-simplify]: Simplify 1 into 1
15.745 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
15.745 * [taylor]: Taking taylor expansion of 0 in kx
15.745 * [backup-simplify]: Simplify 0 into 0
15.745 * [backup-simplify]: Simplify 0 into 0
15.746 * [taylor]: Taking taylor expansion of 0 in kx
15.746 * [backup-simplify]: Simplify 0 into 0
15.746 * [backup-simplify]: Simplify 0 into 0
15.746 * [backup-simplify]: Simplify 0 into 0
15.746 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.747 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.748 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.748 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.749 * [backup-simplify]: Simplify (+ 0 0) into 0
15.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.750 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.750 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.750 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.751 * [backup-simplify]: Simplify (+ 0 0) into 0
15.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.752 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.752 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.753 * [backup-simplify]: Simplify (+ 0 0) into 0
15.753 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.754 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.755 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.755 * [backup-simplify]: Simplify (+ 0 0) into 0
15.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.756 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.757 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.757 * [backup-simplify]: Simplify (+ 0 0) into 0
15.757 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.757 * [backup-simplify]: Simplify (+ 0 0) into 0
15.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.758 * [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))))) (* 0 (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0
15.759 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.759 * [backup-simplify]: Simplify (- 0) into 0
15.760 * [backup-simplify]: Simplify (+ 0 0) into 0
15.760 * [backup-simplify]: Simplify (+ 0 0) into 0
15.761 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)))) 2) into 0
15.762 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 0) (+ (* 0 1) (* 0 0))) into 0
15.762 * [taylor]: Taking taylor expansion of 0 in ky
15.762 * [backup-simplify]: Simplify 0 into 0
15.762 * [taylor]: Taking taylor expansion of 0 in kx
15.762 * [backup-simplify]: Simplify 0 into 0
15.762 * [backup-simplify]: Simplify 0 into 0
15.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.763 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
15.763 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.763 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.763 * [taylor]: Taking taylor expansion of kx in kx
15.763 * [backup-simplify]: Simplify 0 into 0
15.763 * [backup-simplify]: Simplify 1 into 1
15.764 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.764 * [backup-simplify]: Simplify (/ 1 1) into 1
15.764 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.765 * [backup-simplify]: Simplify 0 into 0
15.765 * [backup-simplify]: Simplify 0 into 0
15.765 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) into (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.765 * [approximate]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in (th ky kx) around 0
15.765 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in kx
15.765 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.765 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.765 * [taylor]: Taking taylor expansion of th in kx
15.765 * [backup-simplify]: Simplify th into th
15.765 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.765 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.765 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.765 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
15.765 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.765 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
15.765 * [taylor]: Taking taylor expansion of 1 in kx
15.765 * [backup-simplify]: Simplify 1 into 1
15.765 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
15.765 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.765 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
15.765 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
15.765 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.765 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.765 * [taylor]: Taking taylor expansion of ky in kx
15.765 * [backup-simplify]: Simplify ky into ky
15.765 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.765 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.766 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.766 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
15.766 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.766 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
15.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.766 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.766 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.766 * [taylor]: Taking taylor expansion of kx in kx
15.766 * [backup-simplify]: Simplify 0 into 0
15.766 * [backup-simplify]: Simplify 1 into 1
15.766 * [backup-simplify]: Simplify (/ 1 1) into 1
15.766 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.766 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.766 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.766 * [taylor]: Taking taylor expansion of kx in kx
15.766 * [backup-simplify]: Simplify 0 into 0
15.766 * [backup-simplify]: Simplify 1 into 1
15.766 * [backup-simplify]: Simplify (/ 1 1) into 1
15.766 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.766 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.766 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.766 * [taylor]: Taking taylor expansion of ky in kx
15.766 * [backup-simplify]: Simplify ky into ky
15.766 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.767 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.767 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.767 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.767 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.767 * [taylor]: Taking taylor expansion of ky in kx
15.767 * [backup-simplify]: Simplify ky into ky
15.767 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.767 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.767 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.767 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.767 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.767 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.767 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.767 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.767 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.767 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.767 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.767 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.767 * [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)))
15.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.768 * [backup-simplify]: Simplify (+ 0) into 0
15.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.769 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.769 * [backup-simplify]: Simplify (+ 0 0) into 0
15.769 * [backup-simplify]: Simplify (+ 0) into 0
15.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.771 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.771 * [backup-simplify]: Simplify (+ 0 0) into 0
15.771 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.771 * [backup-simplify]: Simplify (+ 0 0) into 0
15.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.771 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.771 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.771 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.772 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.772 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.772 * [taylor]: Taking taylor expansion of 1 in kx
15.772 * [backup-simplify]: Simplify 1 into 1
15.772 * [backup-simplify]: Simplify (- 1) into -1
15.773 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.773 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.773 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.773 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in ky
15.773 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.773 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.773 * [taylor]: Taking taylor expansion of th in ky
15.773 * [backup-simplify]: Simplify th into th
15.773 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.773 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.773 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.773 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
15.773 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.773 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
15.773 * [taylor]: Taking taylor expansion of 1 in ky
15.773 * [backup-simplify]: Simplify 1 into 1
15.773 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.773 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.773 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.773 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.773 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.773 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.773 * [taylor]: Taking taylor expansion of ky in ky
15.773 * [backup-simplify]: Simplify 0 into 0
15.773 * [backup-simplify]: Simplify 1 into 1
15.774 * [backup-simplify]: Simplify (/ 1 1) into 1
15.774 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.774 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.774 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.774 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.774 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.774 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.774 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.774 * [taylor]: Taking taylor expansion of kx in ky
15.774 * [backup-simplify]: Simplify kx into kx
15.774 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.774 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.774 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.774 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.774 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.774 * [taylor]: Taking taylor expansion of kx in ky
15.774 * [backup-simplify]: Simplify kx into kx
15.774 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.774 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.774 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.774 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.774 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.774 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.774 * [taylor]: Taking taylor expansion of ky in ky
15.774 * [backup-simplify]: Simplify 0 into 0
15.774 * [backup-simplify]: Simplify 1 into 1
15.776 * [backup-simplify]: Simplify (/ 1 1) into 1
15.776 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.777 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.777 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.777 * [taylor]: Taking taylor expansion of ky in ky
15.777 * [backup-simplify]: Simplify 0 into 0
15.777 * [backup-simplify]: Simplify 1 into 1
15.777 * [backup-simplify]: Simplify (/ 1 1) into 1
15.777 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.777 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.777 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.777 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.777 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.777 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.777 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.777 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.777 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.778 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.778 * [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)))
15.778 * [backup-simplify]: Simplify (+ 0) into 0
15.778 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.779 * [backup-simplify]: Simplify (+ 0 0) into 0
15.780 * [backup-simplify]: Simplify (+ 0) into 0
15.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.781 * [backup-simplify]: Simplify (+ 0 0) into 0
15.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.781 * [backup-simplify]: Simplify (+ 0 0) into 0
15.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.782 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.782 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.782 * [taylor]: Taking taylor expansion of 1 in ky
15.782 * [backup-simplify]: Simplify 1 into 1
15.782 * [backup-simplify]: Simplify (- 1) into -1
15.782 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.783 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.783 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.783 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in th
15.783 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.783 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.783 * [taylor]: Taking taylor expansion of th in th
15.783 * [backup-simplify]: Simplify 0 into 0
15.783 * [backup-simplify]: Simplify 1 into 1
15.783 * [backup-simplify]: Simplify (/ 1 1) into 1
15.784 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.784 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
15.784 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.784 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
15.784 * [taylor]: Taking taylor expansion of 1 in th
15.784 * [backup-simplify]: Simplify 1 into 1
15.784 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
15.784 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.784 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
15.784 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
15.784 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.784 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.784 * [taylor]: Taking taylor expansion of ky in th
15.784 * [backup-simplify]: Simplify ky into ky
15.784 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.784 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.784 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.784 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
15.784 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.784 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
15.784 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.784 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.784 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.784 * [taylor]: Taking taylor expansion of kx in th
15.785 * [backup-simplify]: Simplify kx into kx
15.785 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.785 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.785 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.785 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.785 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.785 * [taylor]: Taking taylor expansion of kx in th
15.785 * [backup-simplify]: Simplify kx into kx
15.785 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.785 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.785 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.785 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.785 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.785 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.785 * [taylor]: Taking taylor expansion of ky in th
15.785 * [backup-simplify]: Simplify ky into ky
15.785 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.785 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.785 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.785 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.785 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.785 * [taylor]: Taking taylor expansion of ky in th
15.785 * [backup-simplify]: Simplify ky into ky
15.785 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.786 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.786 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.786 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.786 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.786 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.786 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.786 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.786 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.786 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.786 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.786 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.787 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.787 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.787 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.787 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.787 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.787 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.787 * [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)))
15.788 * [backup-simplify]: Simplify (+ 0) into 0
15.789 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.790 * [backup-simplify]: Simplify (+ 0 0) into 0
15.791 * [backup-simplify]: Simplify (+ 0) into 0
15.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.793 * [backup-simplify]: Simplify (+ 0 0) into 0
15.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.794 * [backup-simplify]: Simplify (+ 0) into 0
15.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.796 * [backup-simplify]: Simplify (+ 0 0) into 0
15.796 * [backup-simplify]: Simplify (+ 0) into 0
15.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.798 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.799 * [backup-simplify]: Simplify (+ 0 0) into 0
15.799 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.799 * [backup-simplify]: Simplify (+ 0 0) into 0
15.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.799 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.800 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.800 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.800 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.800 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.800 * [taylor]: Taking taylor expansion of 1 in th
15.800 * [backup-simplify]: Simplify 1 into 1
15.801 * [backup-simplify]: Simplify (- 1) into -1
15.801 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.802 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.802 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.802 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in th
15.802 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.802 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.802 * [taylor]: Taking taylor expansion of th in th
15.802 * [backup-simplify]: Simplify 0 into 0
15.802 * [backup-simplify]: Simplify 1 into 1
15.803 * [backup-simplify]: Simplify (/ 1 1) into 1
15.803 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.803 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
15.803 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.803 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
15.803 * [taylor]: Taking taylor expansion of 1 in th
15.803 * [backup-simplify]: Simplify 1 into 1
15.803 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
15.803 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.803 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
15.803 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
15.803 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.803 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.803 * [taylor]: Taking taylor expansion of ky in th
15.803 * [backup-simplify]: Simplify ky into ky
15.803 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.803 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.804 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.804 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
15.804 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.804 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
15.804 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.804 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.804 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.804 * [taylor]: Taking taylor expansion of kx in th
15.804 * [backup-simplify]: Simplify kx into kx
15.804 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.804 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.804 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.804 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.804 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.804 * [taylor]: Taking taylor expansion of kx in th
15.804 * [backup-simplify]: Simplify kx into kx
15.804 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.804 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.804 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.804 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.804 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.804 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.804 * [taylor]: Taking taylor expansion of ky in th
15.804 * [backup-simplify]: Simplify ky into ky
15.804 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.805 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.805 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.805 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.805 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.805 * [taylor]: Taking taylor expansion of ky in th
15.805 * [backup-simplify]: Simplify ky into ky
15.805 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.805 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.805 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.805 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.805 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.805 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.805 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.805 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.805 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.806 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.806 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.806 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.806 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.806 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.806 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.806 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.806 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.806 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.807 * [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)))
15.807 * [backup-simplify]: Simplify (+ 0) into 0
15.808 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.810 * [backup-simplify]: Simplify (+ 0 0) into 0
15.810 * [backup-simplify]: Simplify (+ 0) into 0
15.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.812 * [backup-simplify]: Simplify (+ 0 0) into 0
15.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.813 * [backup-simplify]: Simplify (+ 0) into 0
15.813 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.815 * [backup-simplify]: Simplify (+ 0 0) into 0
15.816 * [backup-simplify]: Simplify (+ 0) into 0
15.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.818 * [backup-simplify]: Simplify (+ 0 0) into 0
15.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.818 * [backup-simplify]: Simplify (+ 0 0) into 0
15.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.819 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.819 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.819 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.819 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.820 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.820 * [taylor]: Taking taylor expansion of 1 in th
15.820 * [backup-simplify]: Simplify 1 into 1
15.820 * [backup-simplify]: Simplify (- 1) into -1
15.820 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.821 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.821 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.822 * [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)))))
15.822 * [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
15.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.822 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.822 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.823 * [taylor]: Taking taylor expansion of th in ky
15.823 * [backup-simplify]: Simplify th into th
15.823 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.823 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.823 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.823 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.823 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.823 * [taylor]: Taking taylor expansion of ky in ky
15.823 * [backup-simplify]: Simplify 0 into 0
15.823 * [backup-simplify]: Simplify 1 into 1
15.823 * [backup-simplify]: Simplify (/ 1 1) into 1
15.824 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
15.824 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
15.824 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
15.824 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
15.824 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.824 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.824 * [taylor]: Taking taylor expansion of kx in ky
15.824 * [backup-simplify]: Simplify kx into kx
15.824 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.824 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.824 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.824 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.824 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.824 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.824 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
15.824 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.824 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.824 * [taylor]: Taking taylor expansion of ky in ky
15.824 * [backup-simplify]: Simplify 0 into 0
15.824 * [backup-simplify]: Simplify 1 into 1
15.825 * [backup-simplify]: Simplify (/ 1 1) into 1
15.825 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.825 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.825 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.825 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.826 * [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)))
15.826 * [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))))
15.826 * [backup-simplify]: Simplify (+ 0) into 0
15.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.829 * [backup-simplify]: Simplify (+ 0 0) into 0
15.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.829 * [backup-simplify]: Simplify (+ 0 0) into 0
15.830 * [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
15.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.830 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.830 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.830 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.831 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.831 * [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)))))
15.831 * [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
15.831 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.831 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.831 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.831 * [taylor]: Taking taylor expansion of th in kx
15.831 * [backup-simplify]: Simplify th into th
15.831 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.831 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.831 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.831 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.831 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.831 * [taylor]: Taking taylor expansion of ky in kx
15.831 * [backup-simplify]: Simplify ky into ky
15.831 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.831 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.832 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.832 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.832 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.832 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.832 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.832 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.832 * [taylor]: Taking taylor expansion of kx in kx
15.832 * [backup-simplify]: Simplify 0 into 0
15.832 * [backup-simplify]: Simplify 1 into 1
15.832 * [backup-simplify]: Simplify (/ 1 1) into 1
15.832 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.833 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.833 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.833 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.833 * [taylor]: Taking taylor expansion of ky in kx
15.833 * [backup-simplify]: Simplify ky into ky
15.833 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.833 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.833 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.833 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.833 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.833 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.833 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.833 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.834 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.834 * [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)))
15.834 * [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))))
15.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.835 * [backup-simplify]: Simplify (+ 0) into 0
15.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.837 * [backup-simplify]: Simplify (+ 0 0) into 0
15.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.838 * [backup-simplify]: Simplify (+ 0 0) into 0
15.838 * [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
15.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.839 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.839 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.839 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.839 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.839 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.839 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.839 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.840 * [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)))))
15.840 * [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)))))
15.840 * [backup-simplify]: Simplify (+ 0) into 0
15.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.843 * [backup-simplify]: Simplify (+ 0 0) into 0
15.843 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.844 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.844 * [backup-simplify]: Simplify (- 0) into 0
15.844 * [backup-simplify]: Simplify (+ 0 0) into 0
15.845 * [backup-simplify]: Simplify (+ 0 0) into 0
15.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 1) into 0
15.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into 0
15.846 * [taylor]: Taking taylor expansion of 0 in ky
15.846 * [backup-simplify]: Simplify 0 into 0
15.846 * [taylor]: Taking taylor expansion of 0 in kx
15.846 * [backup-simplify]: Simplify 0 into 0
15.846 * [backup-simplify]: Simplify 0 into 0
15.846 * [backup-simplify]: Simplify (+ 0) into 0
15.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.847 * [backup-simplify]: Simplify (+ 0 0) into 0
15.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.848 * [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
15.848 * [taylor]: Taking taylor expansion of 0 in kx
15.848 * [backup-simplify]: Simplify 0 into 0
15.848 * [backup-simplify]: Simplify 0 into 0
15.848 * [backup-simplify]: Simplify (+ 0) into 0
15.848 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.849 * [backup-simplify]: Simplify (+ 0 0) into 0
15.850 * [backup-simplify]: Simplify (+ 0) into 0
15.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.851 * [backup-simplify]: Simplify (+ 0 0) into 0
15.851 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.851 * [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
15.851 * [backup-simplify]: Simplify 0 into 0
15.852 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.853 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.853 * [backup-simplify]: Simplify (+ 0 0) into 0
15.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.854 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.856 * [backup-simplify]: Simplify (+ 0 0) into 0
15.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.858 * [backup-simplify]: Simplify (+ 0 0) into 0
15.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.860 * [backup-simplify]: Simplify (+ 0 0) into 0
15.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.862 * [backup-simplify]: Simplify (+ 0 0) into 0
15.863 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.863 * [backup-simplify]: Simplify (+ 0 0) into 0
15.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.864 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.865 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.865 * [backup-simplify]: Simplify (- 0) into 0
15.865 * [backup-simplify]: Simplify (+ 0 0) into 0
15.866 * [backup-simplify]: Simplify (+ 0 0) into 0
15.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 2) into 0
15.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
15.867 * [taylor]: Taking taylor expansion of 0 in ky
15.867 * [backup-simplify]: Simplify 0 into 0
15.867 * [taylor]: Taking taylor expansion of 0 in kx
15.867 * [backup-simplify]: Simplify 0 into 0
15.867 * [backup-simplify]: Simplify 0 into 0
15.867 * [taylor]: Taking taylor expansion of 0 in kx
15.867 * [backup-simplify]: Simplify 0 into 0
15.868 * [backup-simplify]: Simplify 0 into 0
15.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.869 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.869 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.870 * [backup-simplify]: Simplify (+ 0 0) into 0
15.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.871 * [backup-simplify]: Simplify (+ 0 0) into 0
15.871 * [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
15.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.874 * [backup-simplify]: Simplify (+ 0 0) into 0
15.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.875 * [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
15.875 * [taylor]: Taking taylor expansion of 0 in kx
15.875 * [backup-simplify]: Simplify 0 into 0
15.875 * [backup-simplify]: Simplify 0 into 0
15.875 * [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)))
15.875 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (log1p (expm1 (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))))))) into (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.875 * [approximate]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in (th ky kx) around 0
15.875 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in kx
15.875 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.875 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.875 * [taylor]: Taking taylor expansion of -1 in kx
15.875 * [backup-simplify]: Simplify -1 into -1
15.875 * [taylor]: Taking taylor expansion of th in kx
15.875 * [backup-simplify]: Simplify th into th
15.875 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.875 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.876 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.876 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
15.876 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.876 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
15.876 * [taylor]: Taking taylor expansion of 1 in kx
15.876 * [backup-simplify]: Simplify 1 into 1
15.876 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
15.876 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.876 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
15.876 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
15.876 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.876 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.876 * [taylor]: Taking taylor expansion of -1 in kx
15.876 * [backup-simplify]: Simplify -1 into -1
15.876 * [taylor]: Taking taylor expansion of ky in kx
15.876 * [backup-simplify]: Simplify ky into ky
15.876 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.876 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.876 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.876 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
15.876 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.876 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
15.876 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.876 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.876 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.876 * [taylor]: Taking taylor expansion of -1 in kx
15.876 * [backup-simplify]: Simplify -1 into -1
15.876 * [taylor]: Taking taylor expansion of kx in kx
15.876 * [backup-simplify]: Simplify 0 into 0
15.876 * [backup-simplify]: Simplify 1 into 1
15.876 * [backup-simplify]: Simplify (/ -1 1) into -1
15.877 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.877 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.877 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.877 * [taylor]: Taking taylor expansion of -1 in kx
15.877 * [backup-simplify]: Simplify -1 into -1
15.877 * [taylor]: Taking taylor expansion of kx in kx
15.877 * [backup-simplify]: Simplify 0 into 0
15.877 * [backup-simplify]: Simplify 1 into 1
15.877 * [backup-simplify]: Simplify (/ -1 1) into -1
15.877 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.877 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.877 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.877 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.877 * [taylor]: Taking taylor expansion of -1 in kx
15.877 * [backup-simplify]: Simplify -1 into -1
15.877 * [taylor]: Taking taylor expansion of ky in kx
15.877 * [backup-simplify]: Simplify ky into ky
15.877 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.877 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.877 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.877 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.877 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.877 * [taylor]: Taking taylor expansion of -1 in kx
15.877 * [backup-simplify]: Simplify -1 into -1
15.877 * [taylor]: Taking taylor expansion of ky in kx
15.877 * [backup-simplify]: Simplify ky into ky
15.877 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.877 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.877 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.878 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.878 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.878 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.878 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.878 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.878 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.878 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.878 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.878 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.878 * [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)))
15.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.879 * [backup-simplify]: Simplify (+ 0) into 0
15.879 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.879 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.880 * [backup-simplify]: Simplify (+ 0 0) into 0
15.880 * [backup-simplify]: Simplify (+ 0) into 0
15.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.881 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.881 * [backup-simplify]: Simplify (+ 0 0) into 0
15.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.882 * [backup-simplify]: Simplify (+ 0 0) into 0
15.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.882 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.882 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.882 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.883 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.883 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.883 * [taylor]: Taking taylor expansion of 1 in kx
15.883 * [backup-simplify]: Simplify 1 into 1
15.883 * [backup-simplify]: Simplify (- 1) into -1
15.883 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.883 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.884 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.884 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in ky
15.884 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.884 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.884 * [taylor]: Taking taylor expansion of -1 in ky
15.884 * [backup-simplify]: Simplify -1 into -1
15.884 * [taylor]: Taking taylor expansion of th in ky
15.884 * [backup-simplify]: Simplify th into th
15.884 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.884 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.884 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.884 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
15.884 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.884 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
15.884 * [taylor]: Taking taylor expansion of 1 in ky
15.884 * [backup-simplify]: Simplify 1 into 1
15.884 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.884 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.884 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.884 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.884 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.884 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.884 * [taylor]: Taking taylor expansion of -1 in ky
15.884 * [backup-simplify]: Simplify -1 into -1
15.884 * [taylor]: Taking taylor expansion of ky in ky
15.884 * [backup-simplify]: Simplify 0 into 0
15.884 * [backup-simplify]: Simplify 1 into 1
15.884 * [backup-simplify]: Simplify (/ -1 1) into -1
15.885 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.885 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.885 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.885 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.885 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.885 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.885 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.885 * [taylor]: Taking taylor expansion of -1 in ky
15.885 * [backup-simplify]: Simplify -1 into -1
15.885 * [taylor]: Taking taylor expansion of kx in ky
15.885 * [backup-simplify]: Simplify kx into kx
15.885 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.885 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.885 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.885 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.885 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.885 * [taylor]: Taking taylor expansion of -1 in ky
15.885 * [backup-simplify]: Simplify -1 into -1
15.885 * [taylor]: Taking taylor expansion of kx in ky
15.885 * [backup-simplify]: Simplify kx into kx
15.885 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.885 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.885 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.885 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.885 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.885 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.885 * [taylor]: Taking taylor expansion of -1 in ky
15.885 * [backup-simplify]: Simplify -1 into -1
15.885 * [taylor]: Taking taylor expansion of ky in ky
15.885 * [backup-simplify]: Simplify 0 into 0
15.885 * [backup-simplify]: Simplify 1 into 1
15.885 * [backup-simplify]: Simplify (/ -1 1) into -1
15.885 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.885 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.886 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.886 * [taylor]: Taking taylor expansion of -1 in ky
15.886 * [backup-simplify]: Simplify -1 into -1
15.886 * [taylor]: Taking taylor expansion of ky in ky
15.886 * [backup-simplify]: Simplify 0 into 0
15.886 * [backup-simplify]: Simplify 1 into 1
15.886 * [backup-simplify]: Simplify (/ -1 1) into -1
15.886 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.886 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.886 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.886 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.886 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.886 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.886 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.886 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.886 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.886 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.887 * [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)))
15.887 * [backup-simplify]: Simplify (+ 0) into 0
15.887 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.887 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.888 * [backup-simplify]: Simplify (+ 0 0) into 0
15.888 * [backup-simplify]: Simplify (+ 0) into 0
15.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.889 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.890 * [backup-simplify]: Simplify (+ 0 0) into 0
15.890 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.890 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.890 * [backup-simplify]: Simplify (+ 0 0) into 0
15.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.891 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.891 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.891 * [taylor]: Taking taylor expansion of 1 in ky
15.891 * [backup-simplify]: Simplify 1 into 1
15.891 * [backup-simplify]: Simplify (- 1) into -1
15.891 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.891 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.892 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.892 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in th
15.892 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.892 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.892 * [taylor]: Taking taylor expansion of -1 in th
15.892 * [backup-simplify]: Simplify -1 into -1
15.892 * [taylor]: Taking taylor expansion of th in th
15.892 * [backup-simplify]: Simplify 0 into 0
15.892 * [backup-simplify]: Simplify 1 into 1
15.892 * [backup-simplify]: Simplify (/ -1 1) into -1
15.892 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.892 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
15.892 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.892 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
15.892 * [taylor]: Taking taylor expansion of 1 in th
15.892 * [backup-simplify]: Simplify 1 into 1
15.892 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
15.892 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.892 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
15.892 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
15.892 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.892 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.892 * [taylor]: Taking taylor expansion of -1 in th
15.892 * [backup-simplify]: Simplify -1 into -1
15.892 * [taylor]: Taking taylor expansion of ky in th
15.893 * [backup-simplify]: Simplify ky into ky
15.893 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.893 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.893 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.893 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
15.893 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.893 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
15.893 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.893 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.893 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.893 * [taylor]: Taking taylor expansion of -1 in th
15.893 * [backup-simplify]: Simplify -1 into -1
15.893 * [taylor]: Taking taylor expansion of kx in th
15.893 * [backup-simplify]: Simplify kx into kx
15.893 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.893 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.893 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.893 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.893 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.893 * [taylor]: Taking taylor expansion of -1 in th
15.893 * [backup-simplify]: Simplify -1 into -1
15.893 * [taylor]: Taking taylor expansion of kx in th
15.893 * [backup-simplify]: Simplify kx into kx
15.893 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.893 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.893 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.893 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.893 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.893 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.893 * [taylor]: Taking taylor expansion of -1 in th
15.893 * [backup-simplify]: Simplify -1 into -1
15.893 * [taylor]: Taking taylor expansion of ky in th
15.893 * [backup-simplify]: Simplify ky into ky
15.893 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.893 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.893 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.893 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.893 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.893 * [taylor]: Taking taylor expansion of -1 in th
15.893 * [backup-simplify]: Simplify -1 into -1
15.893 * [taylor]: Taking taylor expansion of ky in th
15.893 * [backup-simplify]: Simplify ky into ky
15.893 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.894 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.894 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.894 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.894 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.894 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.894 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.894 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.894 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.894 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.894 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.894 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.894 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.894 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.894 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.894 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.894 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.894 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.895 * [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)))
15.896 * [backup-simplify]: Simplify (+ 0) into 0
15.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.897 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.898 * [backup-simplify]: Simplify (+ 0 0) into 0
15.898 * [backup-simplify]: Simplify (+ 0) into 0
15.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.899 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.900 * [backup-simplify]: Simplify (+ 0 0) into 0
15.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.900 * [backup-simplify]: Simplify (+ 0) into 0
15.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.900 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.901 * [backup-simplify]: Simplify (+ 0 0) into 0
15.902 * [backup-simplify]: Simplify (+ 0) into 0
15.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.902 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.903 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.903 * [backup-simplify]: Simplify (+ 0 0) into 0
15.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.904 * [backup-simplify]: Simplify (+ 0 0) into 0
15.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.904 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.904 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.904 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.905 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.905 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.905 * [taylor]: Taking taylor expansion of 1 in th
15.905 * [backup-simplify]: Simplify 1 into 1
15.906 * [backup-simplify]: Simplify (- 1) into -1
15.906 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.906 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.907 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.907 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in th
15.907 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.907 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.907 * [taylor]: Taking taylor expansion of -1 in th
15.907 * [backup-simplify]: Simplify -1 into -1
15.907 * [taylor]: Taking taylor expansion of th in th
15.907 * [backup-simplify]: Simplify 0 into 0
15.907 * [backup-simplify]: Simplify 1 into 1
15.907 * [backup-simplify]: Simplify (/ -1 1) into -1
15.908 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.908 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
15.908 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.908 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
15.908 * [taylor]: Taking taylor expansion of 1 in th
15.908 * [backup-simplify]: Simplify 1 into 1
15.908 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
15.908 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.908 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
15.908 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
15.908 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.908 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.908 * [taylor]: Taking taylor expansion of -1 in th
15.908 * [backup-simplify]: Simplify -1 into -1
15.908 * [taylor]: Taking taylor expansion of ky in th
15.908 * [backup-simplify]: Simplify ky into ky
15.908 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.908 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.908 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.908 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
15.908 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.908 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
15.908 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.908 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.909 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.909 * [taylor]: Taking taylor expansion of -1 in th
15.909 * [backup-simplify]: Simplify -1 into -1
15.909 * [taylor]: Taking taylor expansion of kx in th
15.909 * [backup-simplify]: Simplify kx into kx
15.909 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.909 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.909 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.909 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.909 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.909 * [taylor]: Taking taylor expansion of -1 in th
15.909 * [backup-simplify]: Simplify -1 into -1
15.909 * [taylor]: Taking taylor expansion of kx in th
15.909 * [backup-simplify]: Simplify kx into kx
15.909 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.909 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.909 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.909 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.909 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.909 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.909 * [taylor]: Taking taylor expansion of -1 in th
15.909 * [backup-simplify]: Simplify -1 into -1
15.909 * [taylor]: Taking taylor expansion of ky in th
15.909 * [backup-simplify]: Simplify ky into ky
15.909 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.909 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.910 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.910 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.910 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.910 * [taylor]: Taking taylor expansion of -1 in th
15.910 * [backup-simplify]: Simplify -1 into -1
15.910 * [taylor]: Taking taylor expansion of ky in th
15.910 * [backup-simplify]: Simplify ky into ky
15.910 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.910 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.910 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.910 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.910 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.910 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.910 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.910 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.910 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.911 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.911 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.911 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.911 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.911 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.911 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.911 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.911 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.911 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.912 * [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)))
15.912 * [backup-simplify]: Simplify (+ 0) into 0
15.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.913 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.914 * [backup-simplify]: Simplify (+ 0 0) into 0
15.915 * [backup-simplify]: Simplify (+ 0) into 0
15.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.916 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.917 * [backup-simplify]: Simplify (+ 0 0) into 0
15.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.918 * [backup-simplify]: Simplify (+ 0) into 0
15.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.918 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.920 * [backup-simplify]: Simplify (+ 0 0) into 0
15.920 * [backup-simplify]: Simplify (+ 0) into 0
15.921 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.921 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.923 * [backup-simplify]: Simplify (+ 0 0) into 0
15.923 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.923 * [backup-simplify]: Simplify (+ 0 0) into 0
15.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.924 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.924 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.924 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.924 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.924 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.924 * [taylor]: Taking taylor expansion of 1 in th
15.924 * [backup-simplify]: Simplify 1 into 1
15.925 * [backup-simplify]: Simplify (- 1) into -1
15.925 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.926 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.926 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.926 * [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)))))
15.926 * [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
15.926 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.926 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.926 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.926 * [taylor]: Taking taylor expansion of -1 in ky
15.927 * [backup-simplify]: Simplify -1 into -1
15.927 * [taylor]: Taking taylor expansion of th in ky
15.927 * [backup-simplify]: Simplify th into th
15.927 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.927 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.927 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.927 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.927 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.927 * [taylor]: Taking taylor expansion of -1 in ky
15.927 * [backup-simplify]: Simplify -1 into -1
15.927 * [taylor]: Taking taylor expansion of ky in ky
15.927 * [backup-simplify]: Simplify 0 into 0
15.927 * [backup-simplify]: Simplify 1 into 1
15.928 * [backup-simplify]: Simplify (/ -1 1) into -1
15.928 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
15.928 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
15.928 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
15.928 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
15.928 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.928 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.928 * [taylor]: Taking taylor expansion of -1 in ky
15.928 * [backup-simplify]: Simplify -1 into -1
15.928 * [taylor]: Taking taylor expansion of kx in ky
15.928 * [backup-simplify]: Simplify kx into kx
15.928 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.928 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.928 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.928 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.928 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.928 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.928 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
15.928 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.928 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.928 * [taylor]: Taking taylor expansion of -1 in ky
15.928 * [backup-simplify]: Simplify -1 into -1
15.928 * [taylor]: Taking taylor expansion of ky in ky
15.928 * [backup-simplify]: Simplify 0 into 0
15.929 * [backup-simplify]: Simplify 1 into 1
15.929 * [backup-simplify]: Simplify (/ -1 1) into -1
15.929 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.929 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.929 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.929 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.930 * [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)))
15.930 * [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))))
15.930 * [backup-simplify]: Simplify (+ 0) into 0
15.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.931 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.933 * [backup-simplify]: Simplify (+ 0 0) into 0
15.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.934 * [backup-simplify]: Simplify (+ 0 0) into 0
15.934 * [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
15.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.935 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.935 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.935 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.935 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.936 * [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)))))
15.936 * [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
15.936 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.936 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.936 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.936 * [taylor]: Taking taylor expansion of -1 in kx
15.936 * [backup-simplify]: Simplify -1 into -1
15.936 * [taylor]: Taking taylor expansion of th in kx
15.936 * [backup-simplify]: Simplify th into th
15.936 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.936 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.936 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.936 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.936 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.936 * [taylor]: Taking taylor expansion of -1 in kx
15.936 * [backup-simplify]: Simplify -1 into -1
15.936 * [taylor]: Taking taylor expansion of ky in kx
15.936 * [backup-simplify]: Simplify ky into ky
15.936 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.936 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.936 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.936 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.936 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.936 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.937 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.937 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.937 * [taylor]: Taking taylor expansion of -1 in kx
15.937 * [backup-simplify]: Simplify -1 into -1
15.937 * [taylor]: Taking taylor expansion of kx in kx
15.937 * [backup-simplify]: Simplify 0 into 0
15.937 * [backup-simplify]: Simplify 1 into 1
15.937 * [backup-simplify]: Simplify (/ -1 1) into -1
15.937 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.937 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.937 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.938 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.938 * [taylor]: Taking taylor expansion of -1 in kx
15.938 * [backup-simplify]: Simplify -1 into -1
15.938 * [taylor]: Taking taylor expansion of ky in kx
15.938 * [backup-simplify]: Simplify ky into ky
15.938 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.938 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.938 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.938 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.938 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.938 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.938 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.938 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.939 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.939 * [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)))
15.939 * [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))))
15.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.940 * [backup-simplify]: Simplify (+ 0) into 0
15.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.941 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.943 * [backup-simplify]: Simplify (+ 0 0) into 0
15.943 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.943 * [backup-simplify]: Simplify (+ 0 0) into 0
15.944 * [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
15.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.944 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.944 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.944 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.944 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.944 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.945 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.945 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.945 * [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)))))
15.945 * [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)))))
15.946 * [backup-simplify]: Simplify (+ 0) into 0
15.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.947 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.948 * [backup-simplify]: Simplify (+ 0 0) into 0
15.949 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.949 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.950 * [backup-simplify]: Simplify (- 0) into 0
15.950 * [backup-simplify]: Simplify (+ 0 0) into 0
15.950 * [backup-simplify]: Simplify (+ 0 0) into 0
15.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 1) into 0
15.951 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into 0
15.951 * [taylor]: Taking taylor expansion of 0 in ky
15.951 * [backup-simplify]: Simplify 0 into 0
15.951 * [taylor]: Taking taylor expansion of 0 in kx
15.951 * [backup-simplify]: Simplify 0 into 0
15.951 * [backup-simplify]: Simplify 0 into 0
15.952 * [backup-simplify]: Simplify (+ 0) into 0
15.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.952 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.953 * [backup-simplify]: Simplify (+ 0 0) into 0
15.953 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.953 * [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
15.953 * [taylor]: Taking taylor expansion of 0 in kx
15.953 * [backup-simplify]: Simplify 0 into 0
15.953 * [backup-simplify]: Simplify 0 into 0
15.954 * [backup-simplify]: Simplify (+ 0) into 0
15.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.954 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.955 * [backup-simplify]: Simplify (+ 0 0) into 0
15.955 * [backup-simplify]: Simplify (+ 0) into 0
15.956 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.956 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.956 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.957 * [backup-simplify]: Simplify (+ 0 0) into 0
15.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.957 * [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
15.957 * [backup-simplify]: Simplify 0 into 0
15.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.958 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.959 * [backup-simplify]: Simplify (+ 0 0) into 0
15.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.960 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.961 * [backup-simplify]: Simplify (+ 0 0) into 0
15.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.962 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.963 * [backup-simplify]: Simplify (+ 0 0) into 0
15.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.965 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.965 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.966 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.966 * [backup-simplify]: Simplify (+ 0 0) into 0
15.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.967 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.968 * [backup-simplify]: Simplify (+ 0 0) into 0
15.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.969 * [backup-simplify]: Simplify (+ 0 0) into 0
15.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.970 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.971 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.971 * [backup-simplify]: Simplify (- 0) into 0
15.971 * [backup-simplify]: Simplify (+ 0 0) into 0
15.971 * [backup-simplify]: Simplify (+ 0 0) into 0
15.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 2) into 0
15.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
15.973 * [taylor]: Taking taylor expansion of 0 in ky
15.973 * [backup-simplify]: Simplify 0 into 0
15.973 * [taylor]: Taking taylor expansion of 0 in kx
15.973 * [backup-simplify]: Simplify 0 into 0
15.973 * [backup-simplify]: Simplify 0 into 0
15.973 * [taylor]: Taking taylor expansion of 0 in kx
15.973 * [backup-simplify]: Simplify 0 into 0
15.973 * [backup-simplify]: Simplify 0 into 0
15.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.974 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.976 * [backup-simplify]: Simplify (+ 0 0) into 0
15.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.976 * [backup-simplify]: Simplify (+ 0 0) into 0
15.977 * [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
15.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.979 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.980 * [backup-simplify]: Simplify (+ 0 0) into 0
15.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.982 * [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
15.982 * [taylor]: Taking taylor expansion of 0 in kx
15.982 * [backup-simplify]: Simplify 0 into 0
15.982 * [backup-simplify]: Simplify 0 into 0
15.982 * [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)))
15.982 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
15.983 * [backup-simplify]: Simplify (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) into (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
15.983 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in (ky kx) around 0
15.983 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
15.983 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.983 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
15.983 * [taylor]: Taking taylor expansion of 1 in kx
15.983 * [backup-simplify]: Simplify 1 into 1
15.983 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.983 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.983 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.983 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
15.983 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.983 * [taylor]: Taking taylor expansion of ky in kx
15.983 * [backup-simplify]: Simplify ky into ky
15.983 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.983 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.983 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.983 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.983 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.983 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.983 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.983 * [taylor]: Taking taylor expansion of kx in kx
15.983 * [backup-simplify]: Simplify 0 into 0
15.983 * [backup-simplify]: Simplify 1 into 1
15.983 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.984 * [taylor]: Taking taylor expansion of kx in kx
15.984 * [backup-simplify]: Simplify 0 into 0
15.984 * [backup-simplify]: Simplify 1 into 1
15.984 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.984 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.984 * [taylor]: Taking taylor expansion of ky in kx
15.984 * [backup-simplify]: Simplify ky into ky
15.984 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.984 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.984 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.984 * [taylor]: Taking taylor expansion of ky in kx
15.984 * [backup-simplify]: Simplify ky into ky
15.984 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.984 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.985 * [backup-simplify]: Simplify (* 0 0) into 0
15.985 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.985 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.985 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.985 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.985 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.985 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.985 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.985 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.986 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.988 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.988 * [backup-simplify]: Simplify (+ 0) into 0
15.989 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.990 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.990 * [backup-simplify]: Simplify (+ 0 0) into 0
15.991 * [backup-simplify]: Simplify (+ 0) into 0
15.991 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.993 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.993 * [backup-simplify]: Simplify (+ 0 0) into 0
15.993 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.994 * [backup-simplify]: Simplify (+ 0 0) into 0
15.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.994 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.994 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.994 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.994 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
15.994 * [backup-simplify]: Simplify (exp 1) into E
15.994 * [taylor]: Taking taylor expansion of 1 in kx
15.994 * [backup-simplify]: Simplify 1 into 1
15.995 * [backup-simplify]: Simplify (- 1) into -1
15.995 * [backup-simplify]: Simplify (+ E -1) into (- E 1)
15.996 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E
15.996 * [backup-simplify]: Simplify (log E) into 1
15.997 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.997 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.997 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.997 * [taylor]: Taking taylor expansion of 1 in ky
15.997 * [backup-simplify]: Simplify 1 into 1
15.997 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.997 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.997 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.997 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.997 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.997 * [taylor]: Taking taylor expansion of ky in ky
15.997 * [backup-simplify]: Simplify 0 into 0
15.997 * [backup-simplify]: Simplify 1 into 1
15.997 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.997 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.997 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.997 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.997 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.997 * [taylor]: Taking taylor expansion of kx in ky
15.997 * [backup-simplify]: Simplify kx into kx
15.997 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.997 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.997 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.997 * [taylor]: Taking taylor expansion of kx in ky
15.997 * [backup-simplify]: Simplify kx into kx
15.997 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.998 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.998 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.998 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.998 * [taylor]: Taking taylor expansion of ky in ky
15.998 * [backup-simplify]: Simplify 0 into 0
15.998 * [backup-simplify]: Simplify 1 into 1
15.998 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.998 * [taylor]: Taking taylor expansion of ky in ky
15.998 * [backup-simplify]: Simplify 0 into 0
15.998 * [backup-simplify]: Simplify 1 into 1
15.998 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.998 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.998 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.998 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.998 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.998 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.998 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.999 * [backup-simplify]: Simplify (* 0 0) into 0
15.999 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.999 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.999 * [backup-simplify]: Simplify (+ 0) into 0
16.000 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
16.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.001 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
16.002 * [backup-simplify]: Simplify (+ 0 0) into 0
16.002 * [backup-simplify]: Simplify (+ 0) into 0
16.003 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
16.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.004 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
16.004 * [backup-simplify]: Simplify (+ 0 0) into 0
16.004 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
16.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
16.007 * [backup-simplify]: Simplify (+ 0 0) into 0
16.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
16.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.008 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
16.008 * [backup-simplify]: Simplify (exp 0) into 1
16.008 * [taylor]: Taking taylor expansion of 1 in ky
16.008 * [backup-simplify]: Simplify 1 into 1
16.008 * [backup-simplify]: Simplify (- 1) into -1
16.009 * [backup-simplify]: Simplify (+ 1 -1) into 0
16.009 * [backup-simplify]: Simplify (+ 1 0) into 1
16.010 * [backup-simplify]: Simplify (log 1) into 0
16.010 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
16.010 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
16.010 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
16.010 * [taylor]: Taking taylor expansion of 1 in ky
16.010 * [backup-simplify]: Simplify 1 into 1
16.010 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
16.010 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
16.010 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
16.010 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
16.010 * [taylor]: Taking taylor expansion of (sin ky) in ky
16.010 * [taylor]: Taking taylor expansion of ky in ky
16.010 * [backup-simplify]: Simplify 0 into 0
16.010 * [backup-simplify]: Simplify 1 into 1
16.010 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
16.010 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
16.010 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
16.010 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
16.010 * [taylor]: Taking taylor expansion of (sin kx) in ky
16.010 * [taylor]: Taking taylor expansion of kx in ky
16.010 * [backup-simplify]: Simplify kx into kx
16.010 * [backup-simplify]: Simplify (sin kx) into (sin kx)
16.011 * [backup-simplify]: Simplify (cos kx) into (cos kx)
16.011 * [taylor]: Taking taylor expansion of (sin kx) in ky
16.011 * [taylor]: Taking taylor expansion of kx in ky
16.011 * [backup-simplify]: Simplify kx into kx
16.011 * [backup-simplify]: Simplify (sin kx) into (sin kx)
16.011 * [backup-simplify]: Simplify (cos kx) into (cos kx)
16.011 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
16.011 * [taylor]: Taking taylor expansion of (sin ky) in ky
16.011 * [taylor]: Taking taylor expansion of ky in ky
16.011 * [backup-simplify]: Simplify 0 into 0
16.011 * [backup-simplify]: Simplify 1 into 1
16.011 * [taylor]: Taking taylor expansion of (sin ky) in ky
16.011 * [taylor]: Taking taylor expansion of ky in ky
16.011 * [backup-simplify]: Simplify 0 into 0
16.011 * [backup-simplify]: Simplify 1 into 1
16.011 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
16.011 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
16.011 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
16.011 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
16.011 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
16.011 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
16.012 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
16.012 * [backup-simplify]: Simplify (* 0 0) into 0
16.012 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
16.012 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
16.013 * [backup-simplify]: Simplify (+ 0) into 0
16.013 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
16.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.014 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
16.015 * [backup-simplify]: Simplify (+ 0 0) into 0
16.015 * [backup-simplify]: Simplify (+ 0) into 0
16.016 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
16.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.017 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
16.017 * [backup-simplify]: Simplify (+ 0 0) into 0
16.017 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
16.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.020 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
16.020 * [backup-simplify]: Simplify (+ 0 0) into 0
16.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
16.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.021 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
16.021 * [backup-simplify]: Simplify (exp 0) into 1
16.021 * [taylor]: Taking taylor expansion of 1 in ky
16.021 * [backup-simplify]: Simplify 1 into 1
16.022 * [backup-simplify]: Simplify (- 1) into -1
16.022 * [backup-simplify]: Simplify (+ 1 -1) into 0
16.023 * [backup-simplify]: Simplify (+ 1 0) into 1
16.023 * [backup-simplify]: Simplify (log 1) into 0
16.023 * [taylor]: Taking taylor expansion of 0 in kx
16.023 * [backup-simplify]: Simplify 0 into 0
16.023 * [backup-simplify]: Simplify 0 into 0
16.024 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 1) 1)))) into (/ 1 (sin kx))
16.024 * [backup-simplify]: Simplify (- 0) into 0
16.024 * [backup-simplify]: Simplify (+ (/ 1 (sin kx)) 0) into (/ 1 (sin kx))
16.024 * [backup-simplify]: Simplify (+ 0 (/ 1 (sin kx))) into (/ 1 (sin kx))
16.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (sin kx))) 1)) (pow 1 1)))) 1) into (/ 1 (sin kx))
16.028 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
16.028 * [taylor]: Taking taylor expansion of (sin kx) in kx
16.028 * [taylor]: Taking taylor expansion of kx in kx
16.028 * [backup-simplify]: Simplify 0 into 0
16.028 * [backup-simplify]: Simplify 1 into 1
16.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.029 * [backup-simplify]: Simplify (/ 1 1) into 1
16.030 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.031 * [backup-simplify]: Simplify 0 into 0
16.031 * [backup-simplify]: Simplify 0 into 0
16.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.032 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
16.033 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (sin kx) 2))
16.034 * [backup-simplify]: Simplify (- 0) into 0
16.034 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sin kx) 2)) 0) into (* 1/2 (/ 1 (pow (sin kx) 2)))
16.034 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (sin kx) 2)))) into (* 1/2 (/ 1 (pow (sin kx) 2)))
16.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (sin kx))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 1)) (pow 1 1)))) 2) into 0
16.035 * [taylor]: Taking taylor expansion of 0 in kx
16.035 * [backup-simplify]: Simplify 0 into 0
16.035 * [backup-simplify]: Simplify 0 into 0
16.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
16.039 * [backup-simplify]: Simplify 1/6 into 1/6
16.039 * [backup-simplify]: Simplify 0 into 0
16.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.041 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
16.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.042 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
16.042 * [backup-simplify]: Simplify (+ 0 0) into 0
16.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.043 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
16.044 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.044 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
16.044 * [backup-simplify]: Simplify (+ 0 0) into 0
16.045 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
16.045 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.046 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
16.046 * [backup-simplify]: Simplify (+ 0 1) into 1
16.047 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
16.047 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
16.048 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 3) 6)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)))) into (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
16.048 * [backup-simplify]: Simplify (- 0) into 0
16.048 * [backup-simplify]: Simplify (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3))))) 0) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
16.048 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
16.050 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 (sin kx))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 (sin kx))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))) 1)) (pow 1 1)))) 6) into (* -1/6 (+ (/ 1 (sin kx)) (* 3 (/ 1 (pow (sin kx) 3)))))
16.050 * [taylor]: Taking taylor expansion of (* -1/6 (+ (/ 1 (sin kx)) (* 3 (/ 1 (pow (sin kx) 3))))) in kx
16.050 * [taylor]: Taking taylor expansion of -1/6 in kx
16.050 * [backup-simplify]: Simplify -1/6 into -1/6
16.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (sin kx)) (* 3 (/ 1 (pow (sin kx) 3)))) in kx
16.050 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
16.050 * [taylor]: Taking taylor expansion of (sin kx) in kx
16.050 * [taylor]: Taking taylor expansion of kx in kx
16.050 * [backup-simplify]: Simplify 0 into 0
16.050 * [backup-simplify]: Simplify 1 into 1
16.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.051 * [backup-simplify]: Simplify (/ 1 1) into 1
16.051 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow (sin kx) 3))) in kx
16.051 * [taylor]: Taking taylor expansion of 3 in kx
16.051 * [backup-simplify]: Simplify 3 into 3
16.051 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
16.051 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
16.051 * [taylor]: Taking taylor expansion of (sin kx) in kx
16.051 * [taylor]: Taking taylor expansion of kx in kx
16.051 * [backup-simplify]: Simplify 0 into 0
16.051 * [backup-simplify]: Simplify 1 into 1
16.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.051 * [backup-simplify]: Simplify (* 1 1) into 1
16.052 * [backup-simplify]: Simplify (* 1 1) into 1
16.052 * [backup-simplify]: Simplify (/ 1 1) into 1
16.052 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
16.057 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
16.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
16.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.059 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
16.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
16.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
16.061 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
16.062 * [backup-simplify]: Simplify (+ 0 0) into 0
16.062 * [backup-simplify]: Simplify (+ (* 3 1/2) (+ (* 0 0) (* 0 1))) into 3/2
16.063 * [backup-simplify]: Simplify (+ 1 3/2) into 5/2
16.063 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
16.063 * [backup-simplify]: Simplify (+ 0 0) into 0
16.064 * [backup-simplify]: Simplify (* 3 1) into 3
16.064 * [backup-simplify]: Simplify (+ 0 3) into 3
16.065 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 5/2) (+ (* 0 0) (* 0 3)))) into 0
16.065 * [backup-simplify]: Simplify 0 into 0
16.065 * [backup-simplify]: Simplify 0 into 0
16.065 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
16.066 * [backup-simplify]: Simplify 0 into 0
16.066 * [backup-simplify]: Simplify 0 into 0
16.067 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
16.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.068 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.070 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.070 * [backup-simplify]: Simplify (+ 0 0) into 0
16.070 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.071 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.072 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.073 * [backup-simplify]: Simplify (+ 0 0) into 0
16.073 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
16.074 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.076 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
16.076 * [backup-simplify]: Simplify (+ 0 0) into 0
16.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
16.076 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 0 (sin kx))))) into 0
16.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 4) 24)) (* (/ (pow (/ 1 (sin kx)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
16.078 * [backup-simplify]: Simplify (- 0) into 0
16.078 * [backup-simplify]: Simplify (+ (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2))))) 0) into (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
16.079 * [backup-simplify]: Simplify (+ 0 (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))) into (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
16.081 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 (sin kx))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 (sin kx))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 (sin kx))) 1) 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))) 1)) (pow 1 1)))) 24) into 0
16.081 * [taylor]: Taking taylor expansion of 0 in kx
16.081 * [backup-simplify]: Simplify 0 into 0
16.081 * [backup-simplify]: Simplify 0 into 0
16.081 * [backup-simplify]: Simplify (* 1/6 (* kx ky)) into (* 1/6 (* kx ky))
16.081 * [backup-simplify]: Simplify (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) into (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))
16.081 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in (ky kx) around 0
16.081 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
16.082 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
16.082 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
16.082 * [taylor]: Taking taylor expansion of 1 in kx
16.082 * [backup-simplify]: Simplify 1 into 1
16.082 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
16.082 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
16.082 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
16.082 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
16.082 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.082 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.082 * [taylor]: Taking taylor expansion of ky in kx
16.082 * [backup-simplify]: Simplify ky into ky
16.082 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.082 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.082 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.082 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
16.082 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
16.082 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
16.082 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
16.082 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
16.082 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
16.082 * [taylor]: Taking taylor expansion of kx in kx
16.082 * [backup-simplify]: Simplify 0 into 0
16.082 * [backup-simplify]: Simplify 1 into 1
16.082 * [backup-simplify]: Simplify (/ 1 1) into 1
16.082 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.082 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
16.082 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
16.082 * [taylor]: Taking taylor expansion of kx in kx
16.083 * [backup-simplify]: Simplify 0 into 0
16.083 * [backup-simplify]: Simplify 1 into 1
16.083 * [backup-simplify]: Simplify (/ 1 1) into 1
16.083 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.083 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
16.083 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.083 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.083 * [taylor]: Taking taylor expansion of ky in kx
16.083 * [backup-simplify]: Simplify ky into ky
16.083 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.083 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.083 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.083 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.083 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.083 * [taylor]: Taking taylor expansion of ky in kx
16.083 * [backup-simplify]: Simplify ky into ky
16.083 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.083 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.083 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.083 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.083 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.083 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.083 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.084 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.084 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.084 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.084 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.084 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.084 * [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)))
16.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.084 * [backup-simplify]: Simplify (+ 0) into 0
16.085 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.086 * [backup-simplify]: Simplify (+ 0 0) into 0
16.086 * [backup-simplify]: Simplify (+ 0) into 0
16.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.087 * [backup-simplify]: Simplify (+ 0 0) into 0
16.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.088 * [backup-simplify]: Simplify (+ 0 0) into 0
16.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.088 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.088 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.088 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.088 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.088 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
16.088 * [taylor]: Taking taylor expansion of 1 in kx
16.088 * [backup-simplify]: Simplify 1 into 1
16.089 * [backup-simplify]: Simplify (- 1) into -1
16.089 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
16.089 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
16.089 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.089 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
16.089 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
16.089 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
16.089 * [taylor]: Taking taylor expansion of 1 in ky
16.089 * [backup-simplify]: Simplify 1 into 1
16.089 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
16.089 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
16.089 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
16.090 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
16.090 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.090 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.090 * [taylor]: Taking taylor expansion of ky in ky
16.090 * [backup-simplify]: Simplify 0 into 0
16.090 * [backup-simplify]: Simplify 1 into 1
16.090 * [backup-simplify]: Simplify (/ 1 1) into 1
16.090 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.090 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
16.090 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
16.090 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
16.090 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
16.090 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.090 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.090 * [taylor]: Taking taylor expansion of kx in ky
16.090 * [backup-simplify]: Simplify kx into kx
16.090 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.090 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.090 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.090 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.090 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.090 * [taylor]: Taking taylor expansion of kx in ky
16.090 * [backup-simplify]: Simplify kx into kx
16.090 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.090 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.090 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.090 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
16.090 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.090 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.090 * [taylor]: Taking taylor expansion of ky in ky
16.090 * [backup-simplify]: Simplify 0 into 0
16.090 * [backup-simplify]: Simplify 1 into 1
16.091 * [backup-simplify]: Simplify (/ 1 1) into 1
16.091 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.091 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.091 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.091 * [taylor]: Taking taylor expansion of ky in ky
16.091 * [backup-simplify]: Simplify 0 into 0
16.091 * [backup-simplify]: Simplify 1 into 1
16.091 * [backup-simplify]: Simplify (/ 1 1) into 1
16.091 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.091 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.091 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.092 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.092 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.092 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.092 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.092 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.092 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.092 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.092 * [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)))
16.093 * [backup-simplify]: Simplify (+ 0) into 0
16.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.095 * [backup-simplify]: Simplify (+ 0 0) into 0
16.095 * [backup-simplify]: Simplify (+ 0) into 0
16.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.097 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.098 * [backup-simplify]: Simplify (+ 0 0) into 0
16.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.098 * [backup-simplify]: Simplify (+ 0 0) into 0
16.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.099 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.099 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
16.099 * [taylor]: Taking taylor expansion of 1 in ky
16.099 * [backup-simplify]: Simplify 1 into 1
16.100 * [backup-simplify]: Simplify (- 1) into -1
16.100 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
16.100 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
16.101 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.101 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
16.101 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
16.101 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
16.101 * [taylor]: Taking taylor expansion of 1 in ky
16.101 * [backup-simplify]: Simplify 1 into 1
16.101 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
16.101 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
16.101 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
16.101 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
16.101 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.101 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.101 * [taylor]: Taking taylor expansion of ky in ky
16.101 * [backup-simplify]: Simplify 0 into 0
16.101 * [backup-simplify]: Simplify 1 into 1
16.101 * [backup-simplify]: Simplify (/ 1 1) into 1
16.102 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.102 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
16.102 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
16.102 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
16.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
16.102 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.102 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.102 * [taylor]: Taking taylor expansion of kx in ky
16.102 * [backup-simplify]: Simplify kx into kx
16.102 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.102 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.102 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.102 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.102 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.102 * [taylor]: Taking taylor expansion of kx in ky
16.102 * [backup-simplify]: Simplify kx into kx
16.102 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.102 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.102 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
16.102 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.102 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.102 * [taylor]: Taking taylor expansion of ky in ky
16.102 * [backup-simplify]: Simplify 0 into 0
16.102 * [backup-simplify]: Simplify 1 into 1
16.103 * [backup-simplify]: Simplify (/ 1 1) into 1
16.103 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.103 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.103 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.103 * [taylor]: Taking taylor expansion of ky in ky
16.103 * [backup-simplify]: Simplify 0 into 0
16.103 * [backup-simplify]: Simplify 1 into 1
16.103 * [backup-simplify]: Simplify (/ 1 1) into 1
16.103 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.104 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.104 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.104 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.104 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.104 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.104 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.105 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.105 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.105 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.105 * [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)))
16.106 * [backup-simplify]: Simplify (+ 0) into 0
16.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.108 * [backup-simplify]: Simplify (+ 0 0) into 0
16.108 * [backup-simplify]: Simplify (+ 0) into 0
16.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.111 * [backup-simplify]: Simplify (+ 0 0) into 0
16.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.111 * [backup-simplify]: Simplify (+ 0 0) into 0
16.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.112 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.112 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
16.112 * [taylor]: Taking taylor expansion of 1 in ky
16.112 * [backup-simplify]: Simplify 1 into 1
16.113 * [backup-simplify]: Simplify (- 1) into -1
16.113 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
16.114 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
16.115 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.115 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
16.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
16.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
16.115 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
16.115 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
16.115 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
16.115 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
16.115 * [taylor]: Taking taylor expansion of kx in kx
16.115 * [backup-simplify]: Simplify 0 into 0
16.115 * [backup-simplify]: Simplify 1 into 1
16.115 * [backup-simplify]: Simplify (/ 1 1) into 1
16.116 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.116 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
16.116 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.116 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.116 * [taylor]: Taking taylor expansion of ky in kx
16.116 * [backup-simplify]: Simplify ky into ky
16.116 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.116 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.116 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.116 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.116 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.116 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.116 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.116 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.117 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.117 * [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)))
16.117 * [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))))
16.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.118 * [backup-simplify]: Simplify (+ 0) into 0
16.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.119 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.120 * [backup-simplify]: Simplify (+ 0 0) into 0
16.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.121 * [backup-simplify]: Simplify (+ 0 0) into 0
16.121 * [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
16.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
16.122 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.122 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.122 * [taylor]: Taking taylor expansion of ky in kx
16.122 * [backup-simplify]: Simplify ky into ky
16.122 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.122 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.122 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.122 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.122 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.122 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.123 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.123 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
16.124 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
16.125 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.126 * [backup-simplify]: Simplify (- 0) into 0
16.126 * [backup-simplify]: Simplify (+ 0 0) into 0
16.126 * [backup-simplify]: Simplify (+ 0 0) into 0
16.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 1) into 0
16.127 * [taylor]: Taking taylor expansion of 0 in kx
16.127 * [backup-simplify]: Simplify 0 into 0
16.127 * [backup-simplify]: Simplify 0 into 0
16.127 * [backup-simplify]: Simplify (+ 0) into 0
16.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.129 * [backup-simplify]: Simplify (+ 0 0) into 0
16.129 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
16.129 * [backup-simplify]: Simplify 0 into 0
16.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.131 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.131 * [backup-simplify]: Simplify (+ 0 0) into 0
16.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.132 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.133 * [backup-simplify]: Simplify (+ 0 0) into 0
16.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
16.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.134 * [backup-simplify]: Simplify (+ 0 0) into 0
16.135 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.135 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
16.138 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.138 * [backup-simplify]: Simplify (- 0) into 0
16.138 * [backup-simplify]: Simplify (+ 0 0) into 0
16.139 * [backup-simplify]: Simplify (+ 0 0) into 0
16.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 2) into 0
16.141 * [taylor]: Taking taylor expansion of 0 in kx
16.141 * [backup-simplify]: Simplify 0 into 0
16.141 * [backup-simplify]: Simplify 0 into 0
16.141 * [backup-simplify]: Simplify 0 into 0
16.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.143 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.143 * [backup-simplify]: Simplify (+ 0 0) into 0
16.143 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
16.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.144 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.145 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.146 * [backup-simplify]: Simplify (+ 0 0) into 0
16.146 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.146 * [backup-simplify]: Simplify (+ 0 0) into 0
16.147 * [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
16.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
16.148 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.148 * [backup-simplify]: Simplify 0 into 0
16.148 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.149 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.150 * [backup-simplify]: Simplify (+ 0 0) into 0
16.151 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.153 * [backup-simplify]: Simplify (+ 0 0) into 0
16.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
16.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
16.154 * [backup-simplify]: Simplify (+ 0 0) into 0
16.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.157 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 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
16.159 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.159 * [backup-simplify]: Simplify (- 0) into 0
16.160 * [backup-simplify]: Simplify (+ 0 0) into 0
16.160 * [backup-simplify]: Simplify (+ 0 0) into 0
16.164 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 6) into 0
16.164 * [taylor]: Taking taylor expansion of 0 in kx
16.164 * [backup-simplify]: Simplify 0 into 0
16.164 * [backup-simplify]: Simplify 0 into 0
16.165 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
16.165 * [backup-simplify]: Simplify (log1p (expm1 (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))))) into (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))
16.165 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in (ky kx) around 0
16.165 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
16.165 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
16.165 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
16.165 * [taylor]: Taking taylor expansion of 1 in kx
16.165 * [backup-simplify]: Simplify 1 into 1
16.165 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
16.165 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
16.165 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
16.165 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
16.165 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.165 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.165 * [taylor]: Taking taylor expansion of -1 in kx
16.165 * [backup-simplify]: Simplify -1 into -1
16.166 * [taylor]: Taking taylor expansion of ky in kx
16.166 * [backup-simplify]: Simplify ky into ky
16.166 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.166 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.166 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.166 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
16.166 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
16.166 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
16.166 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
16.166 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
16.166 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
16.166 * [taylor]: Taking taylor expansion of -1 in kx
16.166 * [backup-simplify]: Simplify -1 into -1
16.166 * [taylor]: Taking taylor expansion of kx in kx
16.166 * [backup-simplify]: Simplify 0 into 0
16.166 * [backup-simplify]: Simplify 1 into 1
16.167 * [backup-simplify]: Simplify (/ -1 1) into -1
16.167 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.167 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
16.167 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
16.167 * [taylor]: Taking taylor expansion of -1 in kx
16.167 * [backup-simplify]: Simplify -1 into -1
16.167 * [taylor]: Taking taylor expansion of kx in kx
16.167 * [backup-simplify]: Simplify 0 into 0
16.167 * [backup-simplify]: Simplify 1 into 1
16.167 * [backup-simplify]: Simplify (/ -1 1) into -1
16.167 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.167 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
16.168 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.168 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.168 * [taylor]: Taking taylor expansion of -1 in kx
16.168 * [backup-simplify]: Simplify -1 into -1
16.168 * [taylor]: Taking taylor expansion of ky in kx
16.168 * [backup-simplify]: Simplify ky into ky
16.168 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.168 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.168 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.168 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.168 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.168 * [taylor]: Taking taylor expansion of -1 in kx
16.168 * [backup-simplify]: Simplify -1 into -1
16.168 * [taylor]: Taking taylor expansion of ky in kx
16.168 * [backup-simplify]: Simplify ky into ky
16.168 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.168 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.168 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.168 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.168 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.169 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.169 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.169 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.169 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.169 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.169 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.169 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.169 * [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)))
16.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.170 * [backup-simplify]: Simplify (+ 0) into 0
16.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.171 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.172 * [backup-simplify]: Simplify (+ 0 0) into 0
16.172 * [backup-simplify]: Simplify (+ 0) into 0
16.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.173 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.175 * [backup-simplify]: Simplify (+ 0 0) into 0
16.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.175 * [backup-simplify]: Simplify (+ 0 0) into 0
16.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.176 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.176 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.176 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.176 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.177 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
16.177 * [taylor]: Taking taylor expansion of 1 in kx
16.177 * [backup-simplify]: Simplify 1 into 1
16.177 * [backup-simplify]: Simplify (- 1) into -1
16.177 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
16.178 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
16.178 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.178 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
16.178 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
16.178 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
16.178 * [taylor]: Taking taylor expansion of 1 in ky
16.178 * [backup-simplify]: Simplify 1 into 1
16.178 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
16.179 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
16.179 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
16.179 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
16.179 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.179 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.179 * [taylor]: Taking taylor expansion of -1 in ky
16.179 * [backup-simplify]: Simplify -1 into -1
16.179 * [taylor]: Taking taylor expansion of ky in ky
16.179 * [backup-simplify]: Simplify 0 into 0
16.179 * [backup-simplify]: Simplify 1 into 1
16.179 * [backup-simplify]: Simplify (/ -1 1) into -1
16.179 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.179 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
16.179 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
16.179 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
16.180 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
16.180 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.180 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.180 * [taylor]: Taking taylor expansion of -1 in ky
16.180 * [backup-simplify]: Simplify -1 into -1
16.180 * [taylor]: Taking taylor expansion of kx in ky
16.180 * [backup-simplify]: Simplify kx into kx
16.180 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.180 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.180 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.180 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.180 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.180 * [taylor]: Taking taylor expansion of -1 in ky
16.180 * [backup-simplify]: Simplify -1 into -1
16.180 * [taylor]: Taking taylor expansion of kx in ky
16.180 * [backup-simplify]: Simplify kx into kx
16.180 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.180 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.180 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.180 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
16.180 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.180 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.180 * [taylor]: Taking taylor expansion of -1 in ky
16.180 * [backup-simplify]: Simplify -1 into -1
16.180 * [taylor]: Taking taylor expansion of ky in ky
16.181 * [backup-simplify]: Simplify 0 into 0
16.181 * [backup-simplify]: Simplify 1 into 1
16.181 * [backup-simplify]: Simplify (/ -1 1) into -1
16.181 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.181 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.181 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.181 * [taylor]: Taking taylor expansion of -1 in ky
16.181 * [backup-simplify]: Simplify -1 into -1
16.181 * [taylor]: Taking taylor expansion of ky in ky
16.181 * [backup-simplify]: Simplify 0 into 0
16.181 * [backup-simplify]: Simplify 1 into 1
16.182 * [backup-simplify]: Simplify (/ -1 1) into -1
16.182 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.182 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.182 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.182 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.182 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.182 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.183 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.183 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.183 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.183 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.183 * [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)))
16.184 * [backup-simplify]: Simplify (+ 0) into 0
16.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.185 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.186 * [backup-simplify]: Simplify (+ 0 0) into 0
16.187 * [backup-simplify]: Simplify (+ 0) into 0
16.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.188 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.188 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.189 * [backup-simplify]: Simplify (+ 0 0) into 0
16.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.190 * [backup-simplify]: Simplify (+ 0 0) into 0
16.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.191 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.191 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
16.191 * [taylor]: Taking taylor expansion of 1 in ky
16.191 * [backup-simplify]: Simplify 1 into 1
16.191 * [backup-simplify]: Simplify (- 1) into -1
16.192 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
16.192 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
16.193 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.193 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
16.193 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
16.193 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
16.193 * [taylor]: Taking taylor expansion of 1 in ky
16.193 * [backup-simplify]: Simplify 1 into 1
16.193 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
16.193 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
16.193 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
16.193 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
16.193 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.193 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.193 * [taylor]: Taking taylor expansion of -1 in ky
16.193 * [backup-simplify]: Simplify -1 into -1
16.193 * [taylor]: Taking taylor expansion of ky in ky
16.193 * [backup-simplify]: Simplify 0 into 0
16.193 * [backup-simplify]: Simplify 1 into 1
16.194 * [backup-simplify]: Simplify (/ -1 1) into -1
16.194 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.194 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
16.194 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
16.194 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
16.194 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
16.194 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.194 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.194 * [taylor]: Taking taylor expansion of -1 in ky
16.194 * [backup-simplify]: Simplify -1 into -1
16.194 * [taylor]: Taking taylor expansion of kx in ky
16.194 * [backup-simplify]: Simplify kx into kx
16.194 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.194 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.194 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.194 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.194 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.194 * [taylor]: Taking taylor expansion of -1 in ky
16.194 * [backup-simplify]: Simplify -1 into -1
16.195 * [taylor]: Taking taylor expansion of kx in ky
16.195 * [backup-simplify]: Simplify kx into kx
16.195 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.195 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.195 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.195 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
16.195 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.195 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.195 * [taylor]: Taking taylor expansion of -1 in ky
16.195 * [backup-simplify]: Simplify -1 into -1
16.195 * [taylor]: Taking taylor expansion of ky in ky
16.195 * [backup-simplify]: Simplify 0 into 0
16.195 * [backup-simplify]: Simplify 1 into 1
16.195 * [backup-simplify]: Simplify (/ -1 1) into -1
16.196 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.196 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.196 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.196 * [taylor]: Taking taylor expansion of -1 in ky
16.196 * [backup-simplify]: Simplify -1 into -1
16.196 * [taylor]: Taking taylor expansion of ky in ky
16.196 * [backup-simplify]: Simplify 0 into 0
16.196 * [backup-simplify]: Simplify 1 into 1
16.196 * [backup-simplify]: Simplify (/ -1 1) into -1
16.196 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.196 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.196 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.197 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.197 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.197 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.197 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.197 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.197 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.197 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.198 * [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)))
16.198 * [backup-simplify]: Simplify (+ 0) into 0
16.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.199 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.200 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.200 * [backup-simplify]: Simplify (+ 0 0) into 0
16.201 * [backup-simplify]: Simplify (+ 0) into 0
16.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.201 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.203 * [backup-simplify]: Simplify (+ 0 0) into 0
16.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.203 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.204 * [backup-simplify]: Simplify (+ 0 0) into 0
16.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.204 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.205 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
16.205 * [taylor]: Taking taylor expansion of 1 in ky
16.205 * [backup-simplify]: Simplify 1 into 1
16.205 * [backup-simplify]: Simplify (- 1) into -1
16.206 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
16.206 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
16.206 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.206 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
16.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
16.207 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
16.207 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
16.207 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
16.207 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
16.207 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
16.207 * [taylor]: Taking taylor expansion of -1 in kx
16.207 * [backup-simplify]: Simplify -1 into -1
16.207 * [taylor]: Taking taylor expansion of kx in kx
16.207 * [backup-simplify]: Simplify 0 into 0
16.207 * [backup-simplify]: Simplify 1 into 1
16.207 * [backup-simplify]: Simplify (/ -1 1) into -1
16.207 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.207 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
16.207 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.207 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.208 * [taylor]: Taking taylor expansion of -1 in kx
16.208 * [backup-simplify]: Simplify -1 into -1
16.208 * [taylor]: Taking taylor expansion of ky in kx
16.208 * [backup-simplify]: Simplify ky into ky
16.208 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.208 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.208 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.208 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.208 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.208 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.208 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.208 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.209 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.209 * [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)))
16.209 * [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))))
16.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.210 * [backup-simplify]: Simplify (+ 0) into 0
16.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.211 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.212 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.212 * [backup-simplify]: Simplify (+ 0 0) into 0
16.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.213 * [backup-simplify]: Simplify (+ 0 0) into 0
16.213 * [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
16.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
16.214 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.214 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.214 * [taylor]: Taking taylor expansion of -1 in kx
16.214 * [backup-simplify]: Simplify -1 into -1
16.214 * [taylor]: Taking taylor expansion of ky in kx
16.214 * [backup-simplify]: Simplify ky into ky
16.214 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.214 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.214 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.214 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.214 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.214 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.215 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.215 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
16.216 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
16.217 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
16.218 * [backup-simplify]: Simplify (- 0) into 0
16.218 * [backup-simplify]: Simplify (+ 0 0) into 0
16.218 * [backup-simplify]: Simplify (+ 0 0) into 0
16.219 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 1) into 0
16.219 * [taylor]: Taking taylor expansion of 0 in kx
16.219 * [backup-simplify]: Simplify 0 into 0
16.220 * [backup-simplify]: Simplify 0 into 0
16.220 * [backup-simplify]: Simplify (+ 0) into 0
16.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.221 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.222 * [backup-simplify]: Simplify (+ 0 0) into 0
16.223 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
16.223 * [backup-simplify]: Simplify 0 into 0
16.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.225 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.225 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.227 * [backup-simplify]: Simplify (+ 0 0) into 0
16.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.229 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.230 * [backup-simplify]: Simplify (+ 0 0) into 0
16.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
16.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.232 * [backup-simplify]: Simplify (+ 0 0) into 0
16.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.234 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
16.236 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
16.236 * [backup-simplify]: Simplify (- 0) into 0
16.236 * [backup-simplify]: Simplify (+ 0 0) into 0
16.237 * [backup-simplify]: Simplify (+ 0 0) into 0
16.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 2) into 0
16.240 * [taylor]: Taking taylor expansion of 0 in kx
16.240 * [backup-simplify]: Simplify 0 into 0
16.240 * [backup-simplify]: Simplify 0 into 0
16.240 * [backup-simplify]: Simplify 0 into 0
16.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.242 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.243 * [backup-simplify]: Simplify (+ 0 0) into 0
16.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
16.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.246 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.246 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.248 * [backup-simplify]: Simplify (+ 0 0) into 0
16.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.249 * [backup-simplify]: Simplify (+ 0 0) into 0
16.249 * [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
16.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
16.251 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.251 * [backup-simplify]: Simplify 0 into 0
16.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.253 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.253 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.255 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.256 * [backup-simplify]: Simplify (+ 0 0) into 0
16.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
16.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
16.257 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
16.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
16.258 * [backup-simplify]: Simplify (+ 0 0) into 0
16.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
16.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
16.260 * [backup-simplify]: Simplify (+ 0 0) into 0
16.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.261 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 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
16.262 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
16.262 * [backup-simplify]: Simplify (- 0) into 0
16.262 * [backup-simplify]: Simplify (+ 0 0) into 0
16.263 * [backup-simplify]: Simplify (+ 0 0) into 0
16.265 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 6) into 0
16.265 * [taylor]: Taking taylor expansion of 0 in kx
16.265 * [backup-simplify]: Simplify 0 into 0
16.265 * [backup-simplify]: Simplify 0 into 0
16.265 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
16.265 * * * [progress]: simplifying candidates
16.265 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1))))>
16.265 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.265 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.265 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))>
16.265 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (pow (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) 1))))>
16.265 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (exp (log (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.265 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (log (exp (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.265 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (* (* (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.265 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (cbrt (* (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.265 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (* (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (* 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (expm1 (log1p (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (pow (/ (sin ky) (hypot (sin kx) (sin ky))) 1)))))>
16.266 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (exp (- (log (sin ky)) (log (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log (exp (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (- (sin ky)) (- (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))))))))>
16.266 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ 1 1) (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* 1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sin ky) (/ 1 (hypot (sin kx) (sin ky))))))))>
16.266 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))))>
16.266 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (cbrt (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (/ (sin ky) 1) (hypot (sin kx) (sin ky)))))))>
16.267 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))))))))>
16.267 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sqrt (sin ky)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))))))))>
16.267 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))))>
16.267 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) 1))>
16.267 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) 1))>
16.267 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))) (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))>
16.267 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.267 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.267 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))>
16.268 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.268 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))>
16.268 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) 1)))>
16.268 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
16.268 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
16.268 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (+ (* 1/6 (pow ky 2)) (* 1/6 (* kx ky))) (* 181/1080 (pow ky 4))))))>
16.268 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1))))>
16.268 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1))))>
16.268 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))))))>
16.268 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))))>
16.268 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))))>
16.268 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (kx ky th) 0)>
16.268 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
16.268 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
16.268 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1/6 (* kx ky))))>
16.268 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
16.268 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
16.269 * [simplify]: Simplifying:
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (exp (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (log (sin ky)) (log (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (hypot (sin kx) (sin ky)))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) 1)
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 1)
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) 1)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (log1p (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (+ (log (sin th)) (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (log (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (exp (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (* (* (sin th) (sin th)) (sin th)) (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))
  (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (* (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sin th) (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))
  (* (sin th) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sin th) 1)
  (* (cbrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (sqrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (real->posit16 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (log1p (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (exp (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (real->posit16 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (- (+ (* 1/6 (pow ky 2)) (* 1/6 (* kx ky))) (* 181/1080 (pow ky 4)))
  (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
  (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
  (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  0
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* 1/6 (* kx ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
16.270 * * [simplify]: iteration 0: 136 enodes
16.317 * * [simplify]: iteration 1: 274 enodes
16.444 * * [simplify]: iteration 2: 780 enodes
16.760 * * [simplify]: iteration 3: 1958 enodes
17.669 * * [simplify]: iteration complete: 5000 enodes
17.669 * * [simplify]: Extracting #0: cost 66 inf + 0
17.678 * * [simplify]: Extracting #1: cost 653 inf + 2
17.687 * * [simplify]: Extracting #2: cost 1256 inf + 2985
17.698 * * [simplify]: Extracting #3: cost 1153 inf + 32120
17.723 * * [simplify]: Extracting #4: cost 738 inf + 140234
17.788 * * [simplify]: Extracting #5: cost 102 inf + 360971
17.902 * * [simplify]: Extracting #6: cost 19 inf + 392953
17.992 * * [simplify]: Extracting #7: cost 3 inf + 397413
18.099 * * [simplify]: Extracting #8: cost 0 inf + 398352
18.190 * [simplify]: Simplified to:
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (log (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (exp (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (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)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (log1p (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))
  (log (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (log (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (exp (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (* (* (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))) (cbrt (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (* (* (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (sqrt (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (sqrt (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sin th))
  (sin th)
  (* (cbrt (sin th)) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sin ky) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))))
  (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))
  (real->posit16 (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (fma -181/1080 (* (* ky ky) (* ky ky)) (* (* 1/6 ky) (+ kx ky)))
  (expm1 (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))
  (expm1 (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))
  (* ky (- (* kx (fma 7/360 (* kx kx) 1/6)) (* (* 71/720 ky) (* ky kx))))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  0
  (* (sin th) (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))
  (* (sin th) (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))
  (* (* kx ky) 1/6)
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
18.199 * * * [progress]: adding candidates to table
18.722 * [progress]: [Phase 3 of 3] Extracting.
18.722 * * [regime]: Finding splitpoints for: (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
18.728 * * * [regime-changes]: Trying 6 branch expressions: ((sin th) (sin kx) (sin ky) th ky kx)
18.729 * * * * [regimes]: Trying to branch on (sin th) from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
18.902 * * * * [regimes]: Trying to branch on (sin kx) from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
19.082 * * * * [regimes]: Trying to branch on (sin ky) from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
19.280 * * * * [regimes]: Trying to branch on th from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
19.481 * * * * [regimes]: Trying to branch on ky from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
19.657 * * * * [regimes]: Trying to branch on kx from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>)
19.825 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
19.826 * [simplify]: Simplifying:
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
19.826 * * [simplify]: iteration 0: 9 enodes
19.827 * * [simplify]: iteration complete: 9 enodes
19.827 * * [simplify]: Extracting #0: cost 1 inf + 0
19.827 * * [simplify]: Extracting #1: cost 3 inf + 0
19.827 * * [simplify]: Extracting #2: cost 6 inf + 0
19.827 * * [simplify]: Extracting #3: cost 7 inf + 1
19.827 * * [simplify]: Extracting #4: cost 5 inf + 124
19.827 * * [simplify]: Extracting #5: cost 0 inf + 898
19.827 * [simplify]: Simplified to:
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
35.751 * [regime-testing]: Baseline error score: 8.604219715279491
35.756 * [regime-testing]: Oracle error score: 8.440323392221412
35.766 * [regime-testing]: End program error score: 8.604219715279491